{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 引入库\n",
    "from jqdata import *\n",
    "\n",
    "import pickle\n",
    "import itertools  # 迭代器工具\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import prettytable as pt\n",
    "import scipy.stats as st\n",
    "import statsmodels.api as sm\n",
    "# granger 因果检验\n",
    "from statsmodels.tsa.stattools import grangercausalitytests\n",
    "\n",
    "\n",
    "import calendar  # 日历\n",
    "import datetime as dt\n",
    "from tqdm import *\n",
    "from dateutil.parser import parse\n",
    "from dateutil.relativedelta import relativedelta\n",
    "from IPython.core.display import HTML\n",
    "\n",
    "# 画图\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as mg # 不规则子图\n",
    "import matplotlib.dates as mdate\n",
    "import seaborn as sns\n",
    "\n",
    "# 设置字体 用来正常显示中文标签\n",
    "mpl.rcParams['font.sans-serif'] = ['SimHei']\n",
    "#mpl.rcParams['font.family'] = 'serif'\n",
    "# 用来正常显示负号\n",
    "mpl.rcParams['axes.unicode_minus'] = False\n",
    "# 图表主题\n",
    "plt.style.use('seaborn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 波动率与趋势\n",
    "\n",
    "波动率是用来反映市场波动幅度的大小，大家通常也用来观察市场情绪或预 测市场趋势。但波动率种类较多。如日收益率的标准差、日内振幅等。再来 测试这些波动率指标与市场趋势的相关性。\n",
    "\n",
    "我们先拿沪深300指数数据来测试一下（时间范围：2006年1月至2015年9月）：granger因果检验，从图可以看出如按收益率标准差与日振 幅来计算的波动率<font color=Darkred>(很少有研报会说计算标准差和均值的窗口时间真是蛋疼)</font> ，其稳定性与领先相关性都很不理想。如按此简单方法计 算的波动率是无法对未来收益率做较好的预测。（图例说明：横轴为预测天数，纵轴为相关系数）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 数据准备\n",
    "start_date = '2005-01-01'\n",
    "end_date = '2017-12-31'\n",
    "\n",
    "# 观察期\n",
    "begin_date = '2006-01-01'\n",
    "watch_date = '2016-12-31'\n",
    "\n",
    "# 数据获取\n",
    "HS300 = get_price(\n",
    "    '000300.XSHG',\n",
    "    start_date,\n",
    "    end_date,\n",
    "    fields=['open','close', 'pre_close', 'high', 'low'],\n",
    "    panel=False)\n",
    "\n",
    "std_window = 22\n",
    "mean_window = 10\n",
    "\n",
    "# 计算收益率\n",
    "ret = HS300['close'] / HS300['pre_close'] - 1\n",
    "# 收益率标准差\n",
    "ret_std = ret.rolling(std_window).std().dropna()\n",
    "ret_mean = ret_std.rolling(mean_window).mean().dropna()\n",
    "\n",
    "\n",
    "# 计算振幅\n",
    "amplitude = (HS300['high'] - HS300['low']) / HS300['pre_close']\n",
    "\n",
    "# 计算振幅标准差\n",
    "amplitude_std = amplitude.rolling(std_window).std().dropna()\n",
    "amplitude_mean = amplitude_std.rolling(mean_window).mean().dropna()\n",
    "\n",
    "# 统一观察窗口\n",
    "amplitude_std = amplitude_mean.loc[begin_date:watch_date]\n",
    "amplitude_mean = amplitude_std.loc[begin_date:watch_date]\n",
    "ret_std = ret_std.loc[begin_date:watch_date]\n",
    "ret_mean = ret_mean.loc[begin_date:watch_date]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 获取granger因果检验结果的p值显示\n",
    "def grangercausalitytests_pvalue(ret:pd.DataFrame,singal:pd.DataFrame,title:str):\n",
    "    \n",
    "    result = grangercausalitytests(\n",
    "        np.c_[ret.reindex(singal.index), singal], maxlag=31, verbose=False)\n",
    "\n",
    "    p_value = []\n",
    "    for i,items_value in result.items():\n",
    "\n",
    "        p_value.append(items_value[0]['params_ftest'][1])\n",
    "\n",
    "    mpl.rcParams['font.family'] = 'serif'\n",
    "    plt.figure(figsize=(18,6))\n",
    "    plt.title(title)\n",
    "    plt.bar(range(len(p_value)), p_value,width=0.4)\n",
    "    plt.xticks(range(len(p_value)), np.arange(1,32,1))\n",
    "    plt.axhline(0.5,ls='--',color='black',alpha=0.5,label='p值0.05显著水平')\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "\n",
    "# 检验信号与滞后期收益率的相关系数\n",
    "def show_corrocef(close_df:pd.DataFrame,singal:pd.DataFrame,title:str):\n",
    "    \n",
    "    period = np.arange(1, 32, 1)  # 滞后周期间隔\n",
    "\n",
    "    temp = []  # 储存数据\n",
    "\n",
    "    for i in period:\n",
    "        \n",
    "        # 收益未来收益与信号的相关系数\n",
    "        lag_ret = close_df['close'].pct_change(i).shift(-i)\n",
    "        temp.append(\n",
    "            np.corrcoef(lag_ret.reindex(singal.index), singal)[0][1])\n",
    "        \n",
    "    mpl.rcParams['font.family'] = 'serif'\n",
    "    plt.figure(figsize=(18,6))\n",
    "    plt.title(title)\n",
    "    plt.bar(range(len(temp)), temp,width=0.4)\n",
    "    plt.xticks(range(len(temp)), period)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "相关系数与研报的图完全不一样.....如果真是这种相关性,研报作者是怎样支撑这向下研究的,如果是我我就放弃了...."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_corrocef(HS300,ret_mean,\"收益率标准差均值与未来收益的关系\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_corrocef(HS300,amplitude_std,\"振幅标准差均值与未来收益的关系\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## granger因果检验"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">[是前因还是后果?——进行格兰杰因果检验](https://zhuanlan.zhihu.com/p/79936875)\n",
    "\n",
    ">[statsmodels.tsa.stattools.grangercausalitytests](https://www.statsmodels.org/dev/generated/statsmodels.tsa.stattools.grangercausalitytests.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "收益率标准差均值与收益率进行granger因果检验发现p值均大于显著性水平0.05,无法拒绝原假设收益率标准差均值无法对收益率进行较好的预测。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "grangercausalitytests_pvalue(ret,ret_mean,'收益率波动率均值与收益率的granger检验的p值')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Z/j9S3C5xNC8dFM2mGBlwembeGBHDKA7+vt3Nan5DORlcFHdc2LJ8fguK/5dNo5jg7kqKiQDHU4xceIBiGP1VEbFnZt5FcbeB2v7tChyVmXOiuP3fdhRD6FdaxZniIUBGxFiKg88DummzH/BJ4NnyPS4nIu7MzMt7WP8vIuJ1FAeWZ60gBJhCMUng5PKSgj0p5l54fRQz9/8vsG55gD+eYtg9wJjyuXHAW6K4S0W3cz2swP9m5qfK91Q7Qeb7gW9SbKtDyue+QjG54X4Uw+7fTjGfxZWZuXvtSstgpXZCw9plh3f3uByhMJXi8oqny8/nLxFxfmb+NTPb5wDovL6GqjcYEYfz0oiNdvdEBOV8D7eU7f5Svt9vUF6yUxNAHBwRn8zM7SlCkxMz89xy9EltgHQmxfZ6kuIOC+3WycyPUozc6Kmfp1FsW7r5zn0vIvYuJ6qUJImGZcuq5lSSJGlgi4ghmbm088+d2gzPzEVdX13cLaCHoejqZ+VlE3/IzP+J4paFnwL2zMx3rKb1708xr8Du5WUq21IEXdu3z0+wJoqI3YHzM3NSP3dFkjSIeLcFSdIarTYs6C44KJ/vNjgolxkcDFxfAQ4v73bwCPBvVJxJXwW/o7izwMPlBJHTgY+vycGBJEm9xZEHkiRJkiSpkiMPJEmSJElSJcMDSZIkSZJUqc/vttDaOndQXSfR3DyKOXNW6s5W1rWuda1rXeta17rWta51+8Ha9p6tO7jr9oaWlqYe7yjkyIOXqbFxqHWta13rWte61rWuda1r3QFetz9rW9e6g4HhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkgalZcuW9XcXBo3G/u6AJEmSJEmr25IlSzj++CM55ZSvMH/+PB555GH+8IerOeywIwDYfPMtGTJkCGed9T/89a+3M3p0E6ec8mXGjFlvufX8/vdX8rOfXUhDwxA++cmT2Hrrbbjiit9y7rnnMGHCBIYNG8o3v/ldhg4dyl//egcnn/w51l9/g+XW8eyzc5gy5RD23//9zJkzhzvuuBWAb3/7m/z7v08F4IorfsurX70tr3rVJCZOfCVbbhnLreO2227hpptu4Pjj/73Lez399FO5//5/AvDCCwt5/vnnecUr1u9Yfu65F7zMrWl4IEmSJEkahG644c/ssMNreeyxR3nwwftpbW3l6adbuf324sB90003529/u5N//ethzjnnfC699BIuuOB8TjjhxI51vPjii/zwh9/n+9//MbNnt/LlL/8X55xzPs8//xyHHHI4++33Xlpammhtndvxmm222ZZ3vnPf5fpy22031zxaxpIlSwAYNWpdFi5cyNChQxk2bDgNDQ0sWbKEpUu7HzGxcOECANra2vjWt/6bY445njFj1uOYY07g0UcfYccdd+Jvf7uLq6++ihNP/BS33PIXhg8fvjo2p5ctSJIkSZLWXE888Tgf+9gxfOpTn+IjH5nCz39+EUuWLOG8885m4403Zscdd2LmzGu57bZbePzxx5k581qggcbGRm655S/suutuAEyevBu33vqX5dZ9zz1/Y8stg1GjRrHJJq9i/vx5zJs3j+eff5711hu7Sv1tbh7HW9/6dv70p2sZO3Ys5513DtOn/4SGhgZmz57NBhtsSMTWzJ49m2OOOZxjjjmcD33oAABmzLiS1tanOPnk/2DcuHEdoySGDh3C179+OosXL16u1vTpP2HIkKGr1M/OHHkgSZIkSVotzj77LEaPHsG8eS8s9/zOO7+RnXZ6PQCXXfYbHnvsX11eu9FGG7PvvvsD8Ne/3s6NN17PsceeUFfde+65m+9+9ywWLlzGoYd+kMWLF7NoUXEgvXTpUubNm8fHP/5JAB555GEeeKAY4v/MM8+w+eZbADB2bDPPPPPMcut95plnGDv2pZBgvfXGMmdO0eZHPzqX6dMvYLfdJnPwwUfS0NDQ0Zenn356ufU8++wcJk3aFID58+dx1113doxOuOqq37HxxhOZMeNK9trrbcybN49HHnmITTaZxDnnnM/SpUuZOvVjZR/HctRRh3DCCVPZe+93dKy/uXkcO+zwWv74x2vYYIONAHjooQdpbZ3Fa16zXV3bcEXqCg8iYipwELAIODQzH6xZdjRwDLAMmJaZP1stPZMkSZIkqQ4bbbQR48aNo7V1LltuGWy22eYcdNAU2traAGhrW8wzzxQH9M8//1zH65YsaeuYVHHZsmW0tS1/5r52eXubxYsXc9RRx3HUUcfR1tbGV77yRWbMuIK9934nO+ywI7/+9RW0tbXR1tZGY2MjS5a0sc46IzrWsWjRIh555KGOn2+99WbmzHmGAw54PwCPPPIQI0eOZJNNJgFw003Xs8sukwF485t35/bbb2Xrrbfusg0++MGDWbKkjQULFgJF0HHSSV9Y5W3a2QrDg4iYCEwBdgV2B84EDiyXNQJfAjahuATib4DhgSRJkiSthY499oQucwB09u5377fC9eyww2vZYYfX1l23fQ6BdsOHr1MO1y/Cg9mzW7nkkl8CsGDBgo6z8c3N43juuSJMeO65Zxk3bvxy66ld3t5m/PiX2jQ2NjJ58mQeeOABoBhF0NzczNChjdx00w1sv/2O/OMfyZ57vpU//emPHHzwYTQ3j2Offfbj//7vp1x33UxGjhzJ0qXL+POfr2PBgvkcccQxHe+9ra2Niy/+Baee+lXuvfceGhoa+NjHpnLaaSdz1lnfZ5111iHzXqZNO6OjTwsXLuD555/j7rvv6nhu33337xjVsarqGXmwFzAjM9si4mrgRzXLllJ8GhPKxy++rN5orXfEGdesVPvzPrdnL/VEkiRJ0priiSce56mnnmLx4qHcd9+9bLrpZsya9WTH8vHjJ3QcPD/xxOMdoxBe+9qduPjiX/Ce9xzA9ddfx4477gTA1772Ffbbb3+22WZbpk07gwULFjB7divDhg3vuHShuXkcALfeeis771yMDHjjG3fl85//DB/5yNHL9W/atK9x3HHFpQfPPvssp576nzQ3j2ObbbZl66236Wh355138MILCzsen3POWeyxx1sZNWpUx3M77LAjb37zW5g69QS++tX/JmJrzjnn/I7ltRMmrk71hAfrA7MBMnNZRCyNiOGZuSgzl0bEMcCfgfnAkStaWXPzKBobV8+EDQNFS0uTdftJX/RlbdvO1rWuda1rXeta17qDtW5/1rZu73nxxXXZdNNNOf3003nooYc45JAPEzGJu+++jRdfbKClpYmRI0ew5ZaTAGhsXMbChXNpaWlin33exp133soJJxxJU1MTX//61xk3ronnnnuakSOHMmnShnziEyfyyU9+lCFDhnDGGafT0tLE2Wf/D3fccQdDhgxhu+224wMfeC9DhgyhpaWJqVNPZPHixYwaNZz11hvJuuuuw0knfZodd9yxY9v85Cc/5uKLL+bJJ59k22236ngvzzwzizFjRtLS0sSjjz7KyJHDOeywKQCMGTOCddddh5aWJj796U/wjW8sZcaMyzj++OOX2x7NzaMYOXLYav8MGmqv3+hORPwn8EJmTisfPwpEZs4vH18C3AxsCAzJzI9Wra+1dW51wTXMiobkWHflDLSRB4N1O1vXuta1rnWta13rrm11+7O2dXvXE088zuc//2kuu+zS5epefvmlPPHE4x23ZuzsyCOP5bWvfd3Lrt/+fq+//jrOP/8HlW3f8Y53ccABB3b076KLLlhuQsZnnnmao48+nj32eGvHc8899yxTp57A/PnzOeywI9lnn5duA7lkyRKGDl3+5PzLGXnQ0tLU0NOyekYezAI2A4iIBmBYTXCwA7BBZn6lfHxVRGyTmfesdC8lSZIkSVoF3Z0Trz3I7guTJ+/G5Mm71d1+n332rauP6603lvPOu7DbZZ2DA4DXvGa71XaHhVr1hAczgeMi4ovAHsDNEXEacAtwDzCiDBUARlNcviBJkiRJkgaJIStqkJn3AdOBG4BTgBMp5kFoysx/ApcAfwFuBH6RmQ/3Wm8lSZIkSaqx4YYbcf75F/V3Nwa9ekYeUM53MK3mqWNrlp1CESpIkiRJkqRBaIUjDyRJkiRJ0trN8ECSJEmSJFUyPJAkSZIkSZUMDyRJkiRJUiXDA0mSJEmSVMnwQJIkSZIkVTI8kCRJkiRJlQwPJEmSJElSJcMDSZIkSZJUyfBAkiRJkiRVMjyQJEmSJEmVDA8kSZIkSVIlwwNJkiRJklTJ8ECSJEmSJFUyPJAkSZIkSZUMDyRJkiRJUiXDA0mSJEmSVMnwQJIkSZIkVTI8kCRJkiRJlQwPJEmSJElSJcMDSZIkSZJUyfBAkiRJkiRVMjyQJEmSJEmVDA8kSZIkSVIlwwNJkiRJklTJ8ECSJEmSJFUyPJAkSZIkSZUMDyRJkiRJUiXDA0mSJEmSVMnwQJIkSZIkVWqsp1FETAUOAhYBh2bmg+XzewMn1zR9NbBvZl6/ujsqSZIkSZL6xwrDg4iYCEwBdgV2B84EDgTIzKuAq8p2jcBtwM291FdJkiRJktQP6rlsYS9gRma2AVcDk3to9y7g6sxcvLo6J0mSJEmS+l/DsmXLKhtExElAW2Z+o3z8L2DzzFzUqd2vgf/KzDuq1tfWtmRZY+PQl9drDVr7furXK9X+0mnv6aWeSJIkSdJap6GnBfXMeTAMWNJpZcMo5j8AICI2ADZeUXAAMGfOgjpKrjlaWppobZ076OoeccY1K9X+vM/t2Us9qdbb236wfr7Wta51rWtd61rXumtb3f6sbV3rrilaWpp6XFbPZQuzgPEAEdEADMvM+Z3aHApcuKodlCRJkiRJA1c94cFMYO+IGEox/8HNEXFaROxX08bwQJIkSZKkQWqF4UFm3gdMB24ATgFOBNYHmgAi4k3Ag5n5VO91U5IkSZIk9Zd65jwgM6cB02qeOrZm2Z+BfVdzvyRJkiRJ0gBRz2ULkiRJkiRpLWZ4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKhgeSJEmSJKmS4YEkSZIkSapkeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKhgeSJEmSJKmS4YEkSZIkSapkeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmq1FhPo4iYChwELAIOzcwHa5Y1A2cDWwHXZ+ZHe6OjkiRJkiSpf6wwPIiIicAUYFdgd+BM4MCaJv8P+ENmfqA3OihJkiRJkvpXPZct7AXMyMw24GpgcvuCiFiXIlQ4u3e6J0mSJEmS+ls94cH6wGyAzFwGLI2I4eWyLYEngbMjYmZEfKR3uilJkiRJkvpLPXMeDAOW1DxuKJ9bBKwLvBLYH3gOuCkiLs/MWT2trLl5FI2NQ1e9xwNQS0vTWlW3O4N5Gwzm92Zd61rXuta1rnWtuzbV7c/a1rXumq6e8GAWsBlARDQAwzJzfrlsNnBrZj5ZLr8beFX5mm7NmbPgZXV4oGlpaaK1de5aU7cn/dWX3q67tn2+1rWuda1rXeta17qDtW5/1rauddcUVSFIPeHBTOC4iPgisAdwc0ScBtwC/BbYKCLGU4w8CODBHtckSZIkSZLWOCuc8yAz7wOmAzcApwAnUsyD0JSZS4CpwGXl8h9kZmuv9VaSJEmSJPW5ekYekJnTgGk1Tx1bs+xPFHdckCRJkiRJg1A9d1uQJEmSJElrMcMDSZIkSZJUyfBAkiRJkiRVMjyQJEmSJEmVDA8kSZIkSVIlwwNJkiRJklTJ8ECSJEmSJFUyPJAkSZIkSZUMDyRJkiRJUiXDA0mSJEmSVMnwQJIkSZIkVTI8kCRJkiRJlQwPJEmSJElSJcMDSZIkSZJUyfBAkiRJkiRVMjyQJEmSJEmVDA8kSZIkSVIlwwNJkiRJklTJ8ECSJEmSJFUyPJAkSZIkSZUMDyRJkiRJUiXDA0mSJEmSVMk+ZXlUAAAebklEQVTwQJIkSZIkVTI8kCRJkiRJlQwPJEmSJElSJcMDSZIkSZJUyfBAkiRJkiRVMjyQJEmSJEmVDA8kSZIkSVIlwwNJkiRJklSpsZ5GETEVOAhYBByamQ/WLLsaWBdoA67MzC/1RkclSZIkSVL/WGF4EBETgSnArsDuwJnAgTVNxgFvyMzFvdFBSZIkSZLUv+oZebAXMCMz28pRBj/qvI6VCQ7OPvusbp/feec3stNOrwfgsst+w2OP/atLm4022ph9990fgL/+9XZuvPH6btd11FHHMXToUJ5++mn+7/9+2m2bt799HyZN2hSACy44nwUL5ndps+2227Hbbv8GwB/+cDX33XdvlzYTJ27Au971PgD+8Y/7uOaaGd3WmzLlEJqaxrBw4UJ+/OPzum3z5jfvzjbbbAvAL3/5c2bPbu3SZtNNN2Pvvd8JwE033cgdd9zapU1j4zCOPPIYAB5//DEuvfSSbuu95z0HsMEGGwLw/e9/l6VLl3Yse+C2fwDQvEHQvFEA8OQ/b2LB87O6rGfEuuOAPQG46647uf76P3Vb7yMfOZrhw4fz7LNz+NnPLuq2zbw56zG6eSMAHvnb72lbtKBLm6bxr6LlVTsA8Mc//oF7772na5umMUyZckjxXh74JzNmXNltvQ9+cApjxzazaNEifvjD73dZPnr0CLbffme22257AC655JfMmvVkl3abbDKJd77zXQDccstfuPXWm7u0GTJkCEcffTwATz75BL/+9cXd9mnfffenpWVrAM499xza2rr+eu244+t44xt3AeCqq37Hgw8+0KXNhAktvO99HwDgnnvu5k9/urbbeoceegQjR45k7tznufDCc5k374Uubfbc821sueVWAPz0pxfy3HPPdmmz1VZbs8ceewFw3XUzufvuu7q0GTVqXQ455HAAHnroQa688nKg2M61dd///oMYP348S5Ys4Qc/+F63/d5ll8nssMNrAbj00kt4/PHHurTZeONX8u537wfAbbfdws0337Tc8va6xx57AgBPPfUUv/rVL7qtt88++/LKV24CwPnnn8uLL3bdTttvvyO77vomAK6++ir++c9/dGnT3DyOE04ofj8z7+Xaa6/utt7BBx/G6NGjmTdvHhde2Hm3W9h9972IKL4rP//5dObMeaZLmy222JK99tobgJkzZzJzZtf95jrrjODww48E4F//eoTLL7+023rvfe+BvOIVrwBWbl/e+fPtq315e9169uXrrTeWgw46GHj5+/L3vOddbLDBJKD/9+XtXve6nXn9698AwO9+91seeeShLm3WX38D9t+/+P/ZyuzLO3++AG9729vZbLMtALjooguYO/f5LuvZeutteMtb9gBWbV9eW3dF+3KAyZPfvFr25WPGjOJDH/oIsOJ9+UYbbQz0/b78oosu6LbNquzLH374H10+35725Z29nH157ee7on15u9WxLx89egSbbbZ1XfvyD3zgQ8Dq2Ze3tOwM1Lcvv+GGP3PnnXd0abMq+/Jvfetb3f5/v7f/Lu+831hdf5fXsy8fPXoE++134Br1d3m7VdmX33nnzd1+xvX8Xf5y9uW1n/Hq+rscVrwvHz16BOPGbbBa/y6vZ1/+7ne/DRi4+/KV+bv8C1/4XLd1ob7wYH1gNkBmLouIpRExPDMXlcuHR8S15c9fyszu956lkSOHM3Ro16kWmpvXpaWlCYD11hvJc8+N6NJmzJiRHW2am9dl9OiubQBaWpoYOnQoDQ0v9thm/PjRHetqahrBkCFLurQZO3ZUR5uxY0dV1gN4+ume+zRhQhNjxjSxcGFjj23GjXtpG4wZM5IXXujabr31RtVsg+77NGzYsI42L744uq5tMHr0iG53UvVqX8+4cdWfy/Dhw2lsbOuxzcrq6XNpahrR0adnn+15G0yY0ERzcxOLFi2q+3OZP7+7z2XF380hQ4Z0tFm8eG7l5wLF9mpqGsHixUO7tGluHlXz+9L9Nqj9fVnR5zJy5EjWWWcZQLftardBU9MIlizp2qae35d1133pc5k7d/nPpfbnCRNGM2FCE0uWLOmx37X7jDFjRvL886v2uYwe/VKfli5dUPc+Y9iwrm1qt0HV5wLFdm9trf5cRo8ezciRDXV/Nxcvrt5n/P3v3X++I0a8tA0WLKj6fVl+n9Gdnvblte37cl8+evSIur6btfuMl7svb+97+3sdCPvyzp/Ly91ndN6Xd247btzyn8uyZYu6rGdlP5fu9uXtj/tyX96+DWDF+/LabdCX+/J6tkG9+/KHH+76+Vbty2u93H15+2tW9nPpq315e5vVsS9vb1vPvryn35dV2ZdD9/vzvvi7vPbn1fV3+ercl/fG3+Xjx/f9vrx9fZ3V83f5y92Xt/+8pv9dXs++HIptOlD35Sv7d3lPGpYtW1bZICL+E3ghM6eVjx8FIjPnd2q3KTCzXNb1dHGptXVudcE1THEAMHfQ1T3ijGtWqv15n9tzja7bk8H6+VrXuta1rnWta13rrm11+7O2da27pmhpaWroaVk9d1uYBYwHiIgGYFjn4ACgnETxcWDjVeynJEmSJEkagOq5bGEmcFxEfBHYA7g5Ik4DbgGuAoZn5vMR0QK8Anik13q7FhpoZ+IlSZIkSWufFYYHmXlfREwHbqC4VeNhwElAU/nv8ohYDAwFPpaZL/ZifyVJkiRJUh+rZ+QB5XwH02qeOrbm551Xa48kSZIkSdKAUs+cB5IkSZIkaS1meCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKhgeSJEmSJKmS4YEkSZIkSapkeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKhgeSJEmSJKmS4YEkSZIkSapkeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKjXW0ygipgIHAYuAQzPzwW7aXAHcmJmnrNYeSpIkSZKkfrXCkQcRMRGYArwJOBU4s5s2B1NnECFJkiRJktYs9Rzw7wXMyMy2iLga+FHtwogYRxEuXARssvq7KEmSJEnqyRFnXLNS7c/73J5rdF31j3rCg/WB2QCZuSwilkbE8MxcVC7/GnAysF09BZubR9HYOHSVOjtQtbQ09XcXOvRXXwZz3cH83qxrXeta17rWta5116a6/VnbYwb/dl/T1RMeDAOW1DxuKJ9bFBF7AAsy89aIqCs8mDNnwcr3cgBraWmitXVuf3ejQ3/1ZbDW7a/P17rWta51rWtd61rXuoOntscMfVPXz/flqwpB6gkPZgGbAUREAzAsM+eXyz4AvC8iPgiMBIZGxJDMPPnldVmSJEmSJA0U9YQHM4HjIuKLwB7AzRFxGnBLZh4PHA8QEYcDk7zbgiRJkiRJg8sKw4PMvC8ipgM3UNyq8TDgJGDwX9QhSaqbkyZJWlnuNyRpzVHX7RUzcxowreapY7tpc/5q6pMkSZIkSRpAhvR3ByRJkiRJ0sBmeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKhgeSJEmSJKmS4YEkSZIkSarU2N8dkCRJUv864oxrVqr9eZ/bs5d6IkkaqBx5IEmSJEmSKhkeSJIkSZKkSl62IEmSJA1iXpYiaXVw5IEkSZIkSapkeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKjf3dAUmS1kRHnHHNSrU/73N79lJPJEmduY+WVr+6woOImAocBCwCDs3MB8vnNwbOBsYCI4CTM/PyXuqrJEmSJA1YhhYazFZ42UJETASmAG8CTgXOrFn8JHBiZu4GvAf4Vm90UpIkSZIk9Z965jzYC5iRmW3A1cDk9gWZuSQz7y8f7kgxMkGSJEmSJA0i9Vy2sD4wGyAzl0XE0ogYnpmLACJiV+A7wASKEQqSJElaBQ55liQNVPWEB8OAJTWPG8rnFgFk5g3A6yJiJ+Ak4M9VK2tuHkVj49BV6+0A1dLS1N9d6NBffRnMdQfze7OudfvTYP797c5gfr/W7T9r2zbw96hvDObt3JO17XMfzHUH83vrb/WEB7OAzQAiogEYlpnzOzfKzNsiYqeImJCZs3ta2Zw5C1a5swNRS0sTra1z+7sbHfqrL4O1bn99vta17mCq25PB+vvbk8H6fq3bvwbr/3/7q67fq8Jg3c5VBut3em2r6+/wy1cVgtQTHswEjouILwJ7ADdHxGnALeW/pzPzxYjYHFgPmPPyuyxJkiRJkgaKFYYHmXlfREwHbqC4VOEwissTmoDXANMiYi4wHDg8M5f0uDJJkqSV4BwAkiQNDPWMPCAzpwHTap46tubn7VZrjyRJL4sHW5I0MLl/lrQmqys8kCStPP9IlCRJ0mAxpL87IEmSJEmSBjZHHkiSJGmt4sgwSVp5jjyQJEmSJEmVDA8kSZIkSVIlwwNJkiRJklTJ8ECSJEmSJFUyPJAkSZIkSZUMDyRJkiRJUiXDA0mSJEmSVKmxvzuwpvB+wJIkSZKktZUjDyRJkiRJUiXDA0mSJEmSVMnwQJIkSZIkVXLOA0mSJEmrnXOGSYOL4YEkSVInHvRIkrQ8L1uQJEmSJEmVDA8kSZIkSVIlwwNJkiRJklTJ8ECSJEmSJFUyPJAkSZIkSZW824IkSVoh7z4gSdLazZEHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqOeeBJGmN5rX4kiRJvc/wQNKg58GlJEmS9PIYHkiStAYxDJMkSf3B8ECSJEmStMYwSO8fTpgoSZIkSZIq1TXyICKmAgcBi4BDM/PB8vnhwNeBnYGRwGcy8/e91FdJkiRJktQPVhgeRMREYAqwK7A7cCZwIEBmLoqIKzLzxIgI4BfA9r3XXUlrMoeYSZIkSWumei5b2AuYkZltwNXA5NqFmfm78sfHgbGrt3uSJEmSJKm/1XPZwvrAbIDMXBYRSyNieGYu6tTufcClK1pZc/MoGhuHrnxP1zAtLU3WHSR1B/N7G0h1u7O2bQPrWte61rWuda3bP9a292zdNbNGf6snPBgGLKl53FA+1xEelJc2fBpY4RjjOXMWrGQX10ytrXOtuwbVHWjD6Vtamvplm/ZX3Z6s6d8r61rXuta1rnWtO/Dr9mdt6w6OugPtb+iXoyoEqSc8mAVsBhARDcCwzJzfvjAi1gF+BnwiM596eV2VJEmSJGngGWgnHPtaPXMezAT2joihFPMf3BwRp0XEfuXys4Gfe5cFSZIkSZIGpxWOPMjM+yJiOnADxaUKhwEnAU0RsQtwMLBFRBxYvuSYzLyntzos6eVb21NTSZIkSSunnssWyMxpwLSap46t+XnYau2RJEmSJEkaUOoKDyT1DkcASJIkSVoT1DPngSRJkiRJWosZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKhgeSJEmSJKmS4YEkSZIkSapkeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKhgeSJEmSJKmS4YEkSZIkSapkeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKjXW0ygipgIHAYuAQzPzwZplDcA3gNdm5u690UlJkiRJktR/VjjyICImAlOANwGnAmd2avIdoG31d02SJEmSJA0E9Vy2sBcwIzPbgKuByZ2WnwKctZr7JUmSJEmSBoh6LltYH5gNkJnLImJpRAzPzEXlc60RsW69BZubR9HYOHTVersGaWlpsq51rWtd61rXuta1rnWtO8Dr9mdt61p3TVJPeDAMWFLzuKF8btGqFJwzZ8GqvGyN09o617rWta51rWtd61rXuta17gCv25+1rWvdgaYq8KjnsoVZwHjomBxxWGbOXz1dkyRJkiRJA1094cFMYO+IGEox/8HNEXFaROzXu12TJEmSJEkDwQrDg8y8D5gO3EAxOeKJFPMgDK4LOCRJkiRJUrfqmfOAzJwGTKt56thOyx8Cdl9tvZIkSZIkSQNGPZctSJIkSZKktZjhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKhgeSJEmSJKmS4YEkSZIkSapkeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmqZHggSZIkSZIqGR5IkiRJkqRKhgeSJEmSJKmS4YEkSZIkSapkeCBJkiRJkioZHkiSJEmSpEqGB5IkSZIkqZLhgSRJkiRJqmR4IEmSJEmSKhkeSJIkSZKkSoYHkiRJkiSpkuGBJEmSJEmq1FhPo4iYChwELAIOzcwHa5a9BTgTaABOzczf9kZHJUmSJElS/1jhyIOImAhMAd4EnEoRFNT6NvBeYB9gWkQ4mkGSJEmSpEGkngP9vYAZmdkGXA1Mbl8QEa8C5mXm45k5G3gIeE1vdFSSJEmSJPWPhmXLllU2iIiTgLbM/Eb5+F/A5pm5KCLeAHwhM/crl10A/DgzZ/RyvyVJkiRJUh+pZ+TBMIr5DNo1lM/1tGz46umaJEmSJEkaCOoJD2YB4wEiogEYlpnzOy8rTQCeXK09lCRJkiRJ/aqeyxa2Ai4C3gjsAXwCuA24BbgUSGB3ijsx/AXYOjMX9V6XJUmSJElSX1rhyIPMvA+YDtwAnAKcCKwPNGXmMuA44NfA74ATDQ4kSZIkSRpcVjjyQJIkSZIkrd3qmfNAkiRJkiStxQwPJEmSJElSpcb+7sCaLCLGApcA12bmKX1QbyLwbeAVwFLg4Mx8pA/qvhn4CkXYtAw4PDPv7+26NfXHAn8HPpSZ1/ZRzQbgWeCu8qkzMvOyPqq9PXAWMAI4OzN/0Mv1PgvsW/PUTpk5qjdr1tRuAM4GtqX4bh2fmXdVv2q1130eOCIzn+jFesvtKyJiQ+BCYF3gssz8Ul/ULZ/7IPCjzBzRGzW7qxsRRwNHAusA0zPzzN6uC5wGfBd4DcXv0q8y88u9Xbf2/wUR8R/A2zNz976oGxFfBKYATwNPZeYBvVG3h9oNwJeB/YB5mblrb9el2E/+qmbxRsAPMvP03qxbvt9dgG9S7Lf+nJmfWd01K+p+o1x8YWaetZrrdfk7A1hML++vevr7prf3Vz2837fTy/urHur+J728v6r6O7I391c9vN/D6IP9VQ+1/0Uv76+6qfthit+jdr2yv+rh/W5EL++vKur22v6qrNvlGAVYQO/vs7o9NuqLv7H6myMPVlFENFLcbeLePiw7H/haZr4J+Anw6T6qm8B7MnM34HvAZ/uobrvTyz70pfWAv2XmbuW/vgoOhgM/Bz6emTv3dnAAkJlfa3+fFBOgXtHbNWu8CZhYfqc/A5zcR3X3A5aWdb8MfLW3CvWwrziN4n+yuwBvi4ht+6JuRBxEERS1ru56VXWB+4G3AG8Ajo+Ilt6um5lLgW+Un/HOwIcjYuPerlvz/ObA5NVdbwV1x1PsO3br5eCgu9rHAJsCO/RicND5M26t2UfvRnEnqN/2dt3SlykmiZ4MbN9Xv8MU+40PArsB7yy/Z6tTd39n9Pr+qru6fbG/6q4ufbC/6qFur++veqjb6/urHur2yf6qh9q9vr/qpu6n+mJ/1U3dT9MH+6se6vb2/gq6P0bpi31Wl7p9tM/qd4YHqygz24ADgBv7sOaczGyv9zgwto/qPpWZc8ozSztQ3JazT0TEv1EkiA/1Vc3SOPj/7Z1vyF5lHcc/yyymE6lJTNCyGH3LCoyosFGk/bGkSMvemEuL3gxKisAsKigIgha9ESdFrDQHUaQVbKSxtdSFLjB9EXwzlJDAyn+MjfloZS+u646He+e+feF9frfP9v282Tljez6c85z7e/+u6/zOdXi02AmtYPmT7XuX4IZ2t+XHhb5DwKZeJJ/Z9yt4HXAvgO27aHd7RmFGVrwH2N3fWLO771d4b6Pd7fnPon3zvLb32l6x/QzwOHBakXcy6XgW7TP97wpvZzvw7UX7nsNbklsz3J8EvtknbSq9AEg6Azjb9n1F3kPAWT27NgKHi7wbbT/cz/OvgQsX7ByqMyryashbkVfHeIvyashbkVez6six82rIW5VXQ+6KvJpZs4+cV0Peirwa8o6aV907NEapyKwh7+iZ9UIgkwfPA9vLnFn6GO2DWIKkbbRZti20Np0K50uBr9FeEVrNycB5kn4v6RZJry7yvgFYkfRLSXslva3IO+l6uIgWtCXYvp/W6XCQNlv8lSL1A8D5AJLeTjvvozGQFafYXunb/6K9/nZ0r+3HbY/+pTYrGyVtBl5s+8EKr6T1ku6k3eH5uu1/FHmvBPYDfx/DN8tLa528TtIBSVcXu18PXCppn6TvSRqlvpjzvbuV9lrpURjwfpE22DoI7LT9tyLvk5I290HARbQW4bGY1BkleTXtrcqrae9kZ+y8mvZW5dWAtySvpr0U5tWAuySvBrwTRs2rAW9JXg14S/JqYIxSklnT3iVk1lLI5MEaRNLFtJnpn1c5be+w/VpgF60FqYIvAztsL3yG9Llw41W230Vrv/p+kfpUWsh9nNZWd0ORF1or/+39bksJffb9g7Rn8Z4E3lukvhV4QtI+2kx49TX2klXb66b2j0t68fBD4PNVTttHe0uhgA9LevnYzn5Nf4LWMlmK7St7y+j7gMslbSnUbwAO2L4AeBlwSaEbWjG+q9B3KXAf7Zq+TNKGIu824Ae07/9DjJRdU3VGWV4to74Z8lbl1WpvZV6t8v6OwryaOt7SvJr6HZfl1YxrevS8mvKW5dWUtySvBsYoJZm1pLHR0snkwRpD0muA7wBbeztONbcAnylyXQZcL+kR2ofyF5I+UORezW7g3CLXo8Bttp+2/VeKHk3pfBr4UaEPWtHyG9s3Ah8BvlEhtf1f21/ohcPPgL9UeFdxWNJkMZ0zgEeK/ctgO23Rt33VYtuP0e6qLbxlcoD3A2/pvoPAOyT9tsD7f2wfod1JrMotgIds7+/bfwA2V4l7h9bDtv9Z5QSuBT5l+zrgdlob9OjYvtv2BbYvoS16/edFOwbqjJK8WlZ9M8M7el7NOt6x82q1lzZwL8mrOcc7el4NuEvyauiYK/JqwFuSV9PeiryaYjJGqa6xKsdGSyeTB2uIPlP4U0ZeGX7Ae86q3QuBhyq8tt9oe5PtTbTj/qjtksX8JG2UdFLffSdwf4UX2EtbVOZFfeXaxyqkfWGmM12/1sIRYPJmh1OAlTn/duH0Z9W+CtxU6QXuoP2e1wEX0wqn4xZJVwGvpPARJEmnThY660XE+RSsnWJ7l+2NPbfeSru7VdJRI+kV/c+TaAtFVeUWwD2S3t2330ztIrfVa7UAHAXW9+3TKe5ekvQm2qBvodkxo84YPa+WWN8c463Iq2lvVV5Ne6vyasZ5LsmrGdfW6Hk155oeNa9meEfPq3mf4bHyqv/sc1btTsYoFZk15D0hyKsa1xafpa0O+11JACu2F74IyACX9xVEDwNP0drpj3fOA7ZLOkIb0G6rkNp+QNKvgAP9r6pavK+iPZ5Rzc20gL+LNpn5uSqxpP20dsU9tNc2VnIN7XxfC+yx/cdifzU30O443NGza4ftm+f/l+fNBmCPpKdpr1z7yQlwnq+XdDatTfNW23cXur8E7JT0LVohXrImj6T1tLunZdnRuRrYLWkFeJD2mr3RkXQF7Xthhfb64kUvYHxMnUG7Szl2Xi2rvhk63i2Mn1fT3meA0wvy6oV0np8oyqsh91bGz6sh74cYP6+GvBV5NeTdybh5BcNjlKOMn1kn4tgIgHXPPruMzvcQQgghhBBCCCGsFfLYQgghhBBCCCGEEOaSyYMQQgghhBBCCCHMJZMHIYQQQgghhBBCmEsmD0IIIYQQQgghhDCXTB6EEEIIIYQQQghhLpk8CCGEEEIIIYQQwlwyeRBCCCGEEEIIIYS5ZPIghBBCCCGEEEIIc/kfcgEPpybkOpsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "grangercausalitytests_pvalue(ret,amplitude_mean,'振幅波动率均值与收益率的granger检验的p值')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对于按其振幅来计算波动率是以开盘价为基准，开盘价以 上的波动定义为上行波动率，反之为下行波动率。而以标准计算是上涨日为\n",
    "上行波动率，市场下跌时记为上行波动率为零值，下跌时则反之。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 波动率分解：上行波动与下行波动"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">由于A股市场做空机制相对欠缺，波动率分布并不对称。故有必要加以区分，我们把波动率区分为上行波动率与下行波动率。因此我们对上面的测试数据加以折分。对于按其振幅来计算波动率是以开盘价为基准，开盘价以上的波动定义为上行波动率，反之为下行波动率。而以标准计算是上涨日为上行波动率，市场下跌时记为上行波动率为零值，下跌时则反之。通常情况下市场处于上涨阶段时上行波动率要大于下行波动率，下跌阶段则反之，同时二者的差值我们定义为波动率剪刀差。\n",
    "\n",
    "\n",
    "**振幅剪刀差**具体定义为：\n",
    "\n",
    "上行波动 = (HIGH - OPEN)/OPEN \n",
    "\n",
    "下行波动 = (OPEN - LOW)/OPEN\n",
    "\n",
    "剪刀差 = 上行波动 - 下行波动\n",
    "\n",
    "**收益率剪刀差**具体定义为:\n",
    "\n",
    "上行波动率 = np.where(ret > 0 ,std ,0)\n",
    "\n",
    "下行波动率 = np.where(ret < 0 ,std ,0)\n",
    "\n",
    "剪刀差 = 上行波动 - 下行波动"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 振幅剪刀差\n",
    "Upward_volatility = HS300['high'] / HS300['open'] - 1\n",
    "Downside_volatility = 1-HS300['low'] / HS300['open']\n",
    "\n",
    "diff_vol = Upward_volatility - Downside_volatility"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "查看数据分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f404694b550>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(18,6))\n",
    "\n",
    "ax1 = fig.add_subplot(1,3,1)\n",
    "ax1 = sns.distplot(Upward_volatility.dropna(),label='上行波动率')\n",
    "ax1 = sns.distplot(Downside_volatility.dropna(),label='下行波动率')\n",
    "plt.legend()\n",
    "\n",
    "ax2 = fig.add_subplot(1,3,2)\n",
    "ax2 = sns.distplot(Upward_volatility.dropna(),color='g',label='上行波动率')\n",
    "plt.legend()\n",
    "\n",
    "ax3 = fig.add_subplot(1,3,3)\n",
    "ax3 = sns.distplot(Downside_volatility.dropna(),label='下行波动率')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_corrocef(HS300,diff_vol.loc[begin_date:watch_date],\"振幅剪刀差与未来收益的关系\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 振幅剪刀差\n",
    "Upward_volatility = np.where(ret.loc[begin_date:watch_date] > 0 ,ret_std ,0)\n",
    "Downside_volatility = np.where(ret.loc[begin_date:watch_date] < 0 ,ret_std ,0)\n",
    "\n",
    "diff_vol = Upward_volatility - Downside_volatility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f4046624780>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(18,6))\n",
    "\n",
    "ax1 = fig.add_subplot(1,3,1)\n",
    "ax1 = sns.distplot(Upward_volatility,label='上行波动率')\n",
    "ax1 = sns.distplot(Downside_volatility,label='下行波动率')\n",
    "plt.legend()\n",
    "\n",
    "ax2 = fig.add_subplot(1,3,2)\n",
    "ax2 = sns.distplot(Upward_volatility,color='g',label='上行波动率')\n",
    "plt.legend()\n",
    "\n",
    "ax3 = fig.add_subplot(1,3,3)\n",
    "ax3 = sns.distplot(Downside_volatility,label='下行波动率')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_corrocef(HS300,pd.Series(diff_vol,ret_std.index),\"收益率标准差刀差与未来收益的关系\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "预测效果显示提升很多，无论是相关性绝对值与预测 N 日的稳定性都有明显的提高。其中按其振幅剪刀差计算波动率效果为最佳。**在下文中所提的波动率均是按其振幅来计算波动率。**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 基于单向波动差构建择时策略"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "因此我们可以基于上面这个逻辑构建针对指数的择时策略，当前一天的上行波动率减去下行波动率的差值趋势（为增加稳定性，采用60日移动均值）**为正时就看多，反之则看空**。 回测区间为2006年至2016年看下图净值感觉还不错，中间回撤的幅度也有点大，超额收益也主要是来自 08 年。其它年份获取超额收益较少。(granger检验与研报不同 但简单回测结果确差不多...)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 振幅剪刀差\n",
    "Upward_volatility = HS300['high'] / HS300['open'] - 1\n",
    "Downside_volatility = 1-HS300['low'] / HS300['open']\n",
    "\n",
    "diff_vol = Upward_volatility - Downside_volatility\n",
    "\n",
    "diff_ma = diff_vol.rolling(60).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f0b365cdac8>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AAAAAIKvd//RavbJ6V0rvuWTeeJ35oTk9nrNs2VM6/PAjdc45X1Rra6t+/OP/1YknnqzFiw/S66+/quXLn9F99/1NpaWlkqSf/ORW+f1+/fSnN+v555frU586U3/+8x/0y1/+VpJ0yy036YwzztLixQfp+uu/o5dfXqFoNKKcnBz9+te/149+9EMdccTRKi4u1n33/UEnn3yq3n57lRYtWiyfz6eysjJ98EFKPwaCCgAAAAAADIVDDjlM11xzhTwej8488+wux+fNmx8PKOzZU6tbbrlZu3btVGXlLk2ePKXL+atWvan3318jn8+nhoYGVVfv1vjxExQMBiVJoVBIHo9HCxbspw8+WKdgMKhXXnlJhx12xJC9R4IKAAAAAICsduaH5vSaVTAUZs+eo7vuuld33nm7rrrqco0fP6HD8dzcnPj2/ff/WXvtNVnf//4Pddddd3R7z+uuu0ETJ06M70ejUT344F90xRWXaNq0GTr44EPl8Xi0ZMkhWrnyNa1c+ZrOOuuc1L85F4UaAQAAAAAYAvX19SorG6urrrpWGzduUG5unpqbm5Oe29jYoKlTpykWi+ntt1fF2/Py8tTU1CRJWrBgXz3//DJJzkoOzc3N8nq9qq+v1y233Kavfe1Keb3OMP/ooz+k5cufVm5uroqLi4fsPRJUAAAAAAB0sGrdbm2tbEh3N0a8xx57WOedd44uvPCLOvPMs3Tsscfpjjt+rt///u4u55544in6059+p6uv/pqM2Sfe/tGPnqSLLz5fL7zwvM4//yK9/PIKXXTRl3Txxeerunq3IpGI6uvrdcEFn9fXvvZVPfXUk5KkRYsW6+WXV+jQQw8b0vfoicViQ/oCfVFZWZ/+TvRTRUWxKivr090NoAueTWQinktkIp5LZCKeS2SC1RtrdPOfV2rsmFz9+KuH81xmuDvuuFVz5xodf/xHtWdPrc4///N64IGHJUkXX3yBrrnmO5o6ddqgXqOiotjT3TEyFQAAAAAAcU+/vkWSVF3Xqkz4Eho927DhA02aNFmS1NLSIp/PKZ24desWBYPBQQcUekOhRgAAAABAXEsoEt8OhqJp7An64swzz9KPf/xD5eXlKxwO64orrtbvf3+3HnvsEV111bVD/voEFQAAAABgFNjT0Kqb7lupA02FPnHkTPm8yRPXI5H27ITNuxo0ZXLpcHURA3DQQQfrnnvu69B28MGH6vOf/9KwvD7THwAAAABgFNhS1agd1U3654sb9crqXd2eF460Zyf86ck1w9E1jGAEFQAAAABgFAiF24MF1XWt3Z6XGFTYd9bYIe0TRj6CCgAAAAAwCiQGFZpbw92eF06Y/pAT8A1pnzDyEVQAAAAAgFEgFG4vwNjSGun2vMRMhUiEQo3oGYUaAQAAAGAUCCZkKrQEnUyF6roWFRcEFPC3ZyQkFmqMRFlScjBOOOEY/etfy+L7p59+iu655z4VFhbqxht/oI0bNygUCunkk0/VkUcerR/96Ieqr69XMBjU+edfqKVLj1A4HNaNN/5Amzdv0oQJE/U///M95ebmauXK13THHbdKiumLX/yyDjvsiLS8R4IKAAAAADAKJE5/2FzZoDsffkcvvbtTi+aU67LTF8aPhaOJmQoEFYbCyy+vUENDg+688x5JUmtri/z+gC6//EpNnjxFlZW7dOmlF2np0iP09NNPqqioWHfeeY/uuusOPfroP/SpT52pn/3sR/rJT34hvz+gr371PB166GHydrOix1Bi+gMAAAAAjAKJQYVNOxv00rs7JUlvrK3qcF444bx/vbxJG7bXDU8HR5FwOKRgsL1YZm5unnw+nyZPniJJev/9NQoEnByAV199OZ6FcNhhR+q1117Rjh3blZ9foPLyCpWWlmrixL20fv264X8jIlMBAAAAAEaFYKj7OgrRaExer0fNrWHVNYU0piCguqaQJOn3j72rr3x8wXB1c8jk33l70vbQkkMUXnyQJCnn0Yfl27q5yzmRvSYreMonJEn+N1cqsOIFNV94ca+v2dzcrEsu+XJ8v7p6tyRpyZJDdPfdv9all16oiy++XPPmzZckvf32Kt1yy83as6dW1133/+LXlJSUSpLKyspUU7PbbSuJ37esrFQ1Nbsl7d1rn1KNTAUAAAAAGAVCPRRdPP/mZ/TyeztV2+B8e75XeWH8WFVt85D3LVvl5+frttvuiv83duw4SU5mwp133qOlS4/QN75xqZ544nFJ0r77LtTdd/9RP/zhj/W3v/1VkhQOhxWLOdNQYrGYQqGw29b+OrGYFAp1v6LHUCJTAQAAAABGgVDICSqYqaWym2u7HH9sxUZ98cR9JEn5ue1DxZLC3OHp4BDrS2ZB8OSP93pOeP8DFN7/gEH3JxAI6Oyzz9GCBfvqzjtv10c+cmL8mDHzZK1VbW2txo4dp7q6PZIU309sS2xPBzIVAAAAAGAUaMtU+PwJJt6WE2gfEubn+ON1F3ID7atBNLaEhqmHo0djY0N8u7W1VeXlFaqqqlQwGJQkbd26RY2NDSouLtaiRYv1wgvPS5JeeOE5LVq0WJMnT1Ftba2qqipVW1urzZs3afbsOWl5L2QqAAAAAMAoEHQzFQL+9kBCXo5fwZAzkA0EvHrx3R2SpAljC3TiodP0+IpNisZYASLVVqx4QX/4w70qKChQbm6urrzyW1q/fp1uu+2nKigoVCgU0rXXXiefz6ePfewU/e//fl9f/vK5Gj9+gr7zne/L4/Hoqqu+pWuu+YYk6fLLv6FAIJCW9+KJZcADUllZn/5O9FNFRbEqK+vT3Q2gC55NZCKeS2QinktkIp5LDKU7Hnpbr67epZ9eeoRefHuH3t9Sq827GlS1p6XLuWccM1snHjpdF/90uSaNK9K3P39gGnqMTFFRUezp7hjTHwAAAABgFAi5qz/k+L064ZBpuvRTC+X1Jh8rtmUneOQhUwE9IqgAAAAAAKNAW02FxOkPXk/yoMLuOmcVCI9HBBXQI4IKAAAAADAKBMNReTySLyE7obtMhY8dOi1+PBOmzCNzEVQAAAAAgFEgFI4q4PfKk5CdkCym8KWP7aPyknxJksfjUTQ6XD3ESERQAQAAAABGgVA4qhy/r0NbsukPfl97G9Mf0BuCCgAAAAAwCoTCkQ71FCTJkyRVwefrWHOB6Q/oCUEFAAAAABgFgu70h0RJMxW8HadHRIkpoAcEFQAAAABgFAiHowr4OgUVkowIfR2mP5CpgJ75+3KSMaZU0kOSlkm6XdLfEw7vJek31tofJpx/pKS/SlrvNn3aWrs1FR0GAAAAAPRfJBrrsPKDlDxTobElHN/2eKQoqQroQa9BBWOMX9Ijkt6RJGttpaQjEo4/KOmfnS4bJ+kea+3/pK6rAAAAAICBisZiXZaQTFwJ4sC5FXptTaXGjcmLt3k9HkVY/gE96DWoYK0NG2NOk3SSpBmJx4wx5ZKmWmvf7HTZWElVqeokAAAAAKD/GppDuuvhdxTwexWJdA0qtO16PNKFpy7QlsoGzZg4Jn7c4/FQUwE96tP0B2ttpTEm2aFzJP25m8vON8acLukNSVdaa5u7u39ZWYH8nZY2GQkqKorT3QUgKZ5NZCKeS2QinktkIp5LpEokGtP1tyzThu118bbcHH+HZywnxxkSlhXnadLEEk2aWNLhHoGAV02tYZ5LdKtPQYUenCPphM6N1tq7Jd1tjPFI+rmkKyTd0N1NamqaBtmN4VdRUazKyvp0dwPogmcTmYjnEpmI5xKZiOcSqXT/M2s7BBQkKRqJdnjG1m2plSSZqSVJn71oJKZYLMZzOcr1FFQa8OoPxpiDJW221u7q7hxrbUzS45LmD/R1AAAAAAD9t/L9rjPSO09/aCvKOG96WdJ7MP0BvRnMkpLnSfpd244xZrox5iF3e3zCeUdKWjWI1wEAAAAA9NOuJBnhnYMKZmqpJGm/WeOS3sPrEUtKokcDmv5gjMmX9GFJl3a610x3+0vGmDMktUjaKOn8wXQSAAAAANA/yWIBnZeUvOz0hWpsCam0KDfpPTwej5pawrr972/pwo8vkN83mO+lkY36HFSw1t6bsN0saVan4+sk7e9u3yjpxtR0EQAAAADQH5t3NSRt93o6BhXyc/3Kz+1+WOh1Ywiv2Uq9u6FaC2eXp6yPyA6EmQAAAAAgy9TUtyZt7zz9oTeehCBEf6/F6EBQAQAAAACyTDAUSdre/6BC+3aAqQ9IgqcCAAAAALJMKBxN2t7fZIPETAW/n+EjuuKpAAAAAIAsEwwnz1ToXKixN4k1GDrXYwAkggoAAAAAkHWCoW4yFfoZVEhcTpKVJZEMQQUAAAAAyDKJmQpF+QGVFuVIkrZVNfbrPlV7WuLbMaIKSIKgAgAAAABkmbaaCqccNkM/OO9gXfjxBZKkRXtX9Os+px01K74dJaiAJLpfkBQAAAAAMOK8vqZSD/93gyRp4ZxxKinKVUlRrm7/+lHKy/H1616H7zdJDa0R/fU/a5j+gKQIKgAAAABAFnl9TWV8O9ffHkTIzx3Y8K9tBYholKgCumL6AwAAAABkkUjC4D8QGPyQr624IzUVkAxBBQAAAADIIuFI+8oPOf7+TXdIpm3BCBIVkAxBBQAAAADIIpFI++jf5+vfEpLJkKmAnhBUAAAAAIAsEo46mQp7TylRUX5g0PeL11QgpoAkCCoAAAAAQBZpy1S4+uwD5PWkIFMhPv2BqAK6IqgAAAAAAFkkEonKI6UkoCAx/QE9I6gAAAAAAFkkHI3J5/PGpy0MVtt9dlY3p+R+yC4EFQAAAAAgi4Qj0ZQUaGyzbkutJOn+Z9am7J7IHv50dwAAAAAAslUwFNE7G6o7rMgwFMaX5WvahGJJUiQak9+buqDCnoZgyu6F7ENQAQAAAACGyJOvbtbflq8f8tfJ8Xt129ePUjQaU01dq/JzUzfUi7LsA3pAUAEAAAAAUqy6rkXNwYiq9rRIkk45bIbGFOYMyWstf2ObtlQ2qDUU0etrKtXUGtYxB0xO2f1Z9QE9IagAAAAAACl25R0vSJIWzh4nSfrwkqkqyg8MyWu9v6VWWyobFAxF9dSrW+T1eHRsCoMKETIV0AMKNQIAAADAEFm7ZY+8Ho8K8obu+9yA3xnWvbuhWpt2NWjx3HKNK8lL2f2Z/oCekKkAAAAAACkUjkTj202tYUmSN0XLOyYT8PskScvf3CZJOu7AKSm9fyrrMyD7kKkAAAAAAClUU986rK+3q6ZJkpMVIUlTxhel9P5f/uR+kqS9ygtTel9kB4IKAAAAAJBCnYMK+0wvG9LXe3dDTYd9vy+1w7zxZfmSpLKioSk0iZGNoAIAAAAApFB1fUuH/dOOnjWsr+/3pXaqhdfrDBsprYBkCCoAAAAAQArV1gc77FeU5A/p61162n7xbY9H8nlTO8zzujEKVoFAMgQVAAAAACCFgqFIh/3igqFZSrLNrL3GxLdTPfVBkjwej7wej6IxggroiqACAAAAAKRQKGH1B8kZlA+lnIAvvj1U436vl6UlkRxBBQAAAABIoUhkeAffeTntQYVwp4BGqni9HoIKSIqgAgAAAACk0FAN7Lvj8Xh00tLpQ/oaXg9BBSRHUAEAAAAAUmi4gwqSNLY4d0jv7/V4VLWnRaFwpPeTMaoQVAAAAACAFAoP8/QHSSod4qCC3+9VU2tY1939ypC+DkYeggoAAAAAkELh6PBnKuQlFGscCmccM1uStKO6SV+68Wk1tYSH9PUwchBUAAAAAIAUSkemwpwpJZozpURfPHHekNz/8P0maf6Msvj+9urGIXkdjDz+dHcAAAAAALJJODz8mQoBv0/Xfu7AIX0Nn7f9O2nvEC+TiZGDTAUAAAAASKFQGgo1Dge/rz2Q0BqkYCMcBBUAAAAAIIWCoewccPt87cPHlix9j+g/ggoAAAAAkELBUHZmKngTZjyQqYA2BBUAAAAAIIWC4ewccCcGS8JZOsUD/denQo3GmFJJD0laZq39njHmO5LOlrRb0i5r7WmdzvdL+q2kuZI2SfqCtbYlpT0HAAAAgAyUrZkKza3ty0gSVECbXjMV3ADBI5JWJzSPk3SZtfaIzgEF16cl1Vprl0p6X9J5qegsAAAAAGS6UJZmKrQkTHlIx7KZyEy9BhWstWGSSQ7MAAAgAElEQVRJp0lakdA8VlJVD5cdL+mf7vajko4baAcBAAAAYCRpTcOSksNh4riC+PafnlyjaIzAAvpYU8FaW9mpKSbpNmPMC8aYy5JcMkHtQYdKdx8AAAAAskY0GusyDSAWiykUiqooP6CK0jx9/cz909S71DvjmNmaN600vk+xRkh9rKnQmbX2C5JkjCmU9JQx5jVr7X8TTglIaqsN6pGU09P9ysoK5Pf7BtKVtKqoKE53F4CkeDaRiXgukYl4LpGJeC5Hjkt+9LS2VTXq/246Jd4WCkcVjcU0Z0qpfnDRYWnsXWpVVBSroqJYn/vYfH37Vy9IkopL8lVWnJfmniHdBhRUaGOtbTTGLJc0X1JiUGGnnLoLklQuaUdP96mpaRpMN9KioqJYlZX16e4G0AXPJjIRzyUyEc8lMhHP5ciycYfzs/ryD5/U1WcvVklhjppaQs7BWCxrfpaJz2V1dWO8ffuOOoXb3i+yWk/BzgEtKWmMGe/+3yfpUEmrjDHTjTEPuacsl3SSu32yuw8AAAAAWWf77iY98fImSVLQraeQExjQUCvjJRZrDIaY/oABBhUk3WGMeUnSi5L+ba19SU7Ww0z3+L2SxhpjVkgykm4fbEcBAAAAIFN5PB5t2FGnLZUNkqScETi9uy8mlRfGt4NZWpAS/dPn6Q/W2nsTtk9PcnydpP3d7ZCkc1LQPwAAAADIOK+v6VjLPqaYrr/31fh+cWFguLs0LCaXF+rQ+RO04t2dZCpA0sAzFQAAAABg1HpsxcYO++u31nXYn1BWoGw1ucLJViBTARJBBQAAAADoN5/X02Hfbq7tsD+moMcF8Ea0tqkdwRBBBRBUAAAAAIB+GzvGWUpxSkVh0uNF+dk5/UGSAm4RymCY6Q8gqAAAAAAA/daWqHDZ6Qvl93UdVhXm97l83YiTG89UIKgAggoAAAAA0G+hSEySFPD7VFzQNSuhMC97MxVy4pkKTH8AQQUAAAAA6LewO6AO+LwqTjLVoSAvezMVAmQqIAFBBQAAAADop5BbTyDg96ooSaZCsikR2SK3LVOBQo0QQQUAAAAA6LfmYERej0d+nyerizImkxNwMxUo1AgRVAAAAACAfvnjE1brt9UpP9cnj8ej4vzsXT4ymYA/dTUVVm+sUXVdy6DvkylufXCVvnTj02puDae7K8OGoAIAAAAA9MPTr2+VJIUizqA62fSHbBbPVBhkTYW6pqBu/vNKXXnHC6noVtrt3tOiN9ZWSZKWv7Etzb0ZPtlbPQQAAAAAhlBpYa4kdZj+MLm8UEv2GZ+uLg2LXH9qaips2dWQiu5kjFXrd6e7C2lBUAEAAAAABmBMoTPtITGo8IPzD0lXd4ZNW6ZCfVNQLcGBpfnnBHyqawrG91tDEeW69x2p3t1Qne4upAVBBQAAAAAYgEJ32cjcnJE9GO6vvByfigsCWr2pVl+95dkB3WPcmFx5PJ74/s33rdS3PrdY67buUVNrWPNnjB1xQYZNO+vj262jaLlNggoAAAAAMAAH7zNBkkbc4HewPB6Pzjx2jl5ZvWtA10djMb23oUaRaCze9sH2Or383k795tH3JEmf/tAcffTgaSnp73CIxWLa09CeedHcGlY4Es3qpUXbEFQAAAAAgH4oL8lT1Z4WLd13oiTJ5/X0ckX2OXy/STp8v0kDvn5XTZOuv/dVNbmrJIwpzFFNfWv8eNWekbUiRGsoomA4Gn82nnhls554ZbPuvPJoBfzZHXTK/rAJAAAAAKRQJBpTRWlefN8z+mIKgza+rEA/u+wIfecLB2nahCK1hiJqCbZPGcgJjKyh6obtztSHqeOLOrQ3tmT/0pIj6ycFAAAAAGkWDEWUk/Dtc2KhRvSd3+fVzEljlBfwqTUY0fuba+PHQoNcWWK4vbnOWUry0AUTO7SHwyPrfQwE0x8AAAAAoI9isZgaW8IqL8mPt00aV6gLTpmvWXuNSWPPRq6CPCcos2bLnnhbcIQNxt9Yu1u5AZ8WzRmn/WaN01vu8pKhyMh6HwNBpgIAAAAA9NEDy9ZJkjYmVPqXpKULJmpCWUE6ujTinXrETH1kydQObaHwyFg9IRaLafkbW7WzuknzZ5Qp4Pfp0k/tp73KCyVJwRGWcTEQZCoAAAAAQB9EolH966VN6e5G1pk+sVjTJxbrlMNnaP22Ov30/jdHTKbCL/72lt5Y60x9qCh1slf8Pq8WzSnXtqpGhUbI+xgMMhUAAAAAoA8SCwki9QrzApo7pVSSRsRgPBSOxqc5SFJBXvt39jl+Z6hd3xTscl22IagAAAAAAH3QSlBhyAXcVR+CoaH5rFP5M9zT0KpINKa5U0p03OIp+ujB0+LH2gIMv/+3TdnrZSqCCgAAAADQB4mZCiceMq2HMzFQXo9Hfp9nSKY/PLNyq75yy3K9t6E6JferawpJkmbuNUaf/chc5QbaVwQ5av+9VFKYoz2NwawPRhFUAAAAAIA+aHW/Pf/Ikqk649g5ae5N9gr4fUNS4PCV93ZKkn724CrFYrEB3aOpJaSoe+2mXU6xzjGFOV3Oywn4NH/GWElSXZZPgaBQIwAAAAD0QVumQl6Or5czMRg5fu+QrP4wcVyhVm+qVSgc1TMrt+pDi6f06/rHX9qoB55Zp4Wzx6mytlnbdzdJkvJzkw+rxxQ6S2XWNQXjRRyzEZkKAAAAANAHbZkKeTl8NzuUAn6v6ppCenzFRj2+YqNeWb1LklP0cGtlw4DvG06YUrFu6574djTat6yFD7Y7mQmr1u2OBxR6ur4tg2FbZWP7uQPMkMhk/GkAAAAAgD7YsssZ0OaSqTCkSotyVbWnRQ8sWxdvG3/uEv32n+9pS2WDrvzMovjUgv4IRdqDCi++s1MHmvGaN61U3/7NSxpXkqdvnr1Yfl/337s3Noe6tJmppVq6YGLS830ejyTpnsdXq6k1rMaWsF58e4duvOhQ+bzZ8/0+QQUAAAAA6EUsFtP/Pbs+vo2hc/Fp+2njjjpJ0pbKRj24bJ2+f+8r8eO/+Ntbuu3rR/Z7YN6WqeDzehSJxvSXp95X1Z4WSVJtQ1BbKhs0Y+KYpNc2t4b13saaDm3jxuTpm59d3O3rLdlngv7y9FpJ0l+fXqvSohzVNgSVbY9P9oRHAAAAAGCIrNtaF99ubAmnsSfZr6QwRwtnl2vh7HJ9ZMnULsdbQxHtSJh+0FdtmQo/v+wI5eb44gGFNlW1LckuU3Vdi/7gLg2Zn+vXbV87St88+wB95wsH9fh6ZcW5mjO5JL5f2xCUR+oxG2IkIlMBAAAAAHrx0rs749uTywvT2JPRxe/z6iuf2FcPLlurcWPytKcxqO27m9Q8gGUaQ26mQk7Ap6kVRVqbUFdBkhpa2qc3xGIxvbV+t/798uYOGQpfPmW+CvL8MtPK+vSaH1s6Xbc+uKr9vv3udeYjqAAAAAAAvahvdpYFvPDjC7R4bkWaezO6LJk3XkvmjZckPfTcej383w0dii4mam4Nq7K2WdMmFHc5Fo5E5ZEz/eG8k/bRy+/t1LI3tmm/WeP07Jvb1NIa0ftbavWbR9/VMQdM1gPPrOtyj/3nlPer74vmlOuqzyzSa2sq9fTrW3X8Qf1bcWIkIKgAAAAAAL1odb8ZXzh7XJp7Mrq1TR0IR5IHFf74hNWL7+zUuSfO06HzJ6iuKajyEmc5x9ZQRDk5Pnk8Hk0YW6BTDp+pUw6fqfc21jhBhWBYv/uXVWVtSzyg8MUT5ykn4NOdD78z4D7vM2Os9pkxViceMj2+zGQ2IagAAAAAAL0IxlPns2s+/EjTFlQIdRNUePEdZ5rKy+/t1POrtmvt1j362aVHqLggoE07G1TiLvOYKM9dzePh/27ocmzC2AJNn1isxXMr9OFBZhmMK8kb1PWZiqACAAAAAPSiNRSR3+fJqqUAR6KA3w0qJJn+EIvFFPB7FQpH9e6G9joIdY1BPbNyqyRpT2Owy3UVpfndvl5Bnl+5AZ8uOW2/wXY9a/EnAgAAAAB6EQxFlBvwpbsbo57f55GUfPpDXVNIoXC0SzZJSzCifzz/Qbf3LMoP6PgDk2ch9BRwgIOgAgAAAAD0ork1rNwcggrp1jb94TePvqd/vrihw7GqPc2SpKP3n9yh/b2N1fHt/NzkP8OTlk7XlIoiXfaphR3aCST1jqACAAAAAPSivjmk4vyu8/ExvHISBvnLVm5TfVNQdU1Brd9Wpxt+/5okqbw0TxecPD9+3t+fc7IUFs0p1w/OOyTpfUuKcnX9eQdr/znthTivO3fJULyFrENNBQAAAADowa7aZgVDURUXZF/l/pFm3rRSHbX/JD375nbtrmvR5bc+3+Wc8jF5OmBuhcy0Ul15xwvx9gUzx2rsmJ6LJXo8Hn378wepKN+v8WUFKe9/NiKoAAAAAAA92LSjXpKUl8vwKd2KC3J07on7aNHeFXp+1XZ5JMnjBANeXb1LkjR1fJEkaeyYPBXlB9TQHJLHI+07a2yfXmPWXmOGqPfZiT8VAAAAANCNaCymvz27XpK0Xx8HpRh6i+aUa9Gc8g5t722o1paqRpUnFFdsaA5Jkj60eIomkHkwJAgqAAAAAEA37MYa7axukiTl5zB8ymT7zBirfWZ0DPx89sNz9db63Tr9mNlp6lX269OfCmNMqaSHJC2z1n7PGHOBpPMk5Ur6s7X25k7nHynpr5LWu02fttZuTV23AQAAAGB4dV6qEJnvuAOn6LhulotEavQaVDDG+CU9IumdhOZ1ko6WFJW0xhhzj7W2MuH4OEn3WGv/J5WdBQAAAIDhFIrE4tv51FQAuug11GatDUs6TdKKhLanrbWt1tqQpGpJxZ0uGyupKpUdBQAAAIDhFgpHJTmrDuw9pTTNvQEyT5/ydzplIcQZY+ZI8ltr1yc5fL4x5r/GmNuNMflJjgMAAABARgtFIpKkJftMSHNPgMw04Pwdd1rEbyV9rfMxa+3dku42xngk/VzSFZJu6O5eZWUF8vt9A+1K2lRUdE7QADIDzyYyEc8lMhHPJTIRz2Vmyc+vliSNLS0Y1T+b0fze0bPBTAr6sZzCjc90d4K1NmaMeVzS53q6UU1N0yC6kR4VFcWqrKxPdzeALng2kYl4LpGJeC6RiXguM8vWqkb95ck1kqSW5uCo/dnwXKKnoNKAypcaY86VNE3S9xLaphtjHnK3xyecfqSkVQN5HQAAAABIlzv/8U58OcncwMjLrAaGw0AzFX4l6V1JzxljJOmXcgo5znSPf8kYc4akFkkbJZ0/yH4CAAAAwLBqbg3HtyeMpUwckEyfgwrW2nsTtvO6OW1/9/iNkm4cVM8AAAAAII3CkWh8e8LYgjT2BMhcLLQKAAAAAEm0hCIaU5ij739xibweT7q7A2SkAdVUAAAAAIBsFo3FFAxGNKEsXyVFuenuDpCxCCoAAAAAQCfBUEQxSXk5JHcDPSGoAAAAAACdNLU4RRoL8wkqAD0hqAAAAAAAnWza2SBJ8vsYMgE94U8IAAAAAHTy1OtbJEnVdS1p7gmQ2QgqAAAAAEAnk8Y5S0gef9DUNPcEyGwEFQAAAACgk0g0JkkqL8lLc0+AzEZQAQAAAAA6CQYjkqTcgC/NPQEyG0EFAAAAAOikNRyVJOUQVAB6RFABAAAAADppCTpLSuYGGDIBPeFPCAAAAAB0smVXg0qKcpj+APSCoAIAAAAAJKiua1FtQ1CzJo2Rx+NJd3eAjEZQAQAAAAASfLC9TpI0a68xae4JkPkIKgAAkAZ//s/7+ueLG9LdDQBAErUNQUnS+LKCNPcEyHz+dHcAAIDRJhSO6slXN0uSDtt3ksqKc9PcIwBAotZQ23KSfAcL9IY/JQAADLPq+pb49j+e/yCNPQGA7BaORAd0XWvQCSrk+CnSCPSGoAIAAMOsvjEU3372zW1p7AkAZKe/LV+n8256Whf+eJnspho98crmePZBXwTDbqZCDkEFoDdMfwAAYJiseGeHZk8uUUNLqPeTAQAD9tb63YrFnO0f/fkNRWMxVe1p1tnHz+3T9a0hJ8Mhh+UkgV4RVAAAYBhU17Xorkfe7dLu87JUGQCkWjDUPu0h6kYXVryzU9uqGnXRqfuqKD/Q5Zq6xqDWb6/TojnlanKDv/lkKgC9YvoDAADDoKklnLS97ZddAEDqtE1fSNTQHNK7G2r06Asbkl5z032v69YHV2nd1j3aWdMsv8+rUgrpAr0iqAAAwDAIhpMXC4vFCCwAQKq1FVpMZvWmmqTt23c3SZJ217WorjGo0qIceT1kkwG9IagAAMAwCCX51izgd/4ZjkYJKgBAKnUXyJWk6rrWrucnFHGsbwqpJRhWfi4zxYG+IKgAAMAwCCX5BXev8kJJBBUAIJWisZhC4Wj879jOmlrCinXKEFu1bnd8+z+vbVFza4R6CkAfEVQAAGAY3HL/mx32b738SJUW5kiSIgQVACBl2rIOykvyVJakJkI0FlOLOz0iFotp+Rtb9eCydfHjO6udaRARpqYBfUJQAQCAIdb5GzFJKszzy+uu/EBQAQBSp23lhxy/V2O7KbTY6K7usPL9Kv3uX1a7aps1aVxBh3PmTSsb2o4CWYKgAgAAQ6yuMRjfPvHQafrkkTPl8Xjiy0ky/QEAUqctUyEn4NMJh0xLek7bijzL39gWbzts34kdzvnkkbOGqIdAdiGoAADAEGurKP6RJVN1xjFzdMrhMyVJPp/zzzCZCgCQOq1uDZvcgE8HmvH6wgkmfqzALb7Y6AYVtlU1xo8dvM8EffIoJ5Dg83ri2WQAekZJUwAAhthDz62XJE0dX9ShvW2pMjIVACB13lnvFF3MCTiB20nj2gs2jinMUVNrWE0tIYUjUdXUOytBHH/gFFWU5uu4xZP13oZqnXzYjGHvNzBSEVQAAGCIrdmyR1LHX2wlqb7JmRaxq7ZZ40ryhr1fAJBtWoMR3f+MU3Rx7Bjn79XEjIOSwhztqG7S6o21GleSp2gspqP230tnf3iuJKkgL6Crz148/B0HRjCmPwAAMIQSizROHNuxCNjbH1RLkv74hB3WPgFAtqqqa1E0FtM+08t0/IFTJClev0ZyMhUk6anXt+iWvzqr8nTOIgPQPwQVAAAYQiF3bq8kFeQlTxAscX/JBQAMTijsFGmcOr5IHneKWdtUM6k9qCBJDc3OChBTKjpmkQHoH4IKAAAMoVDECSocsHd5l2NXfHp/SdIUviUDgEHbWdOk+/7zviQp4G8f5iTEFJIGcSdX8HcwMBjUVAAAYAi1rZee+AtumwllznSItqXNAAADd8PvX4tnHyT+nZs4/aFzbZuy4lwV5QeGp4NAliJTAQCAIdSWipvj93U5VuhOhyCoAACDE4vF4gEFqePfuYmFGufPKOtw3RSyFIBBI6gAAMAQalsLPVmmQl6uXx5JjS2hLscAAH23ZnNth/3uMhXycjoGeKmnAAweQQUAAIbQ+m11kpLXTfB6PCrI85OpAACDlFgUV+oYVBhfVqALTp6vmy9aKo/Ho698Yt/4MZbzBQaPoAIAAEOovikoSZrUaTnJNoV5AdU3hxSNxpIeBwD0rqm1Y3A2p1N22NJ9J6q8NF+StGTe+Hh758wFAP1HUAEAgCFU787xLSpIXgisIM+vusagrrv7ZcViBBYAYCA6Z3wlm3KW6NgDJkuS5k4pHbI+AaMFQQUAAIbQ9qpGSU6F8WTa1lHfWtWoW/76hiLRaNLzAADdq65v7bDfW1Dhsx+eq9u/flQ8ewHAwBFUAABgiLSGIlq7dY+mTShSYV7yTIVwpD2I8M6GGq3eVJv0PABA96r2NHdq8SQ9r43X61F+rn/oOgSMIn36k2SMKZX0kKRl1trvGWMmSfqTpEJJj1prf9DpfL+k30qaK2mTpC9Ya1tS2nMAADLcms21Ckdimj9jbLfnJAYVJOknf3kjvh3we3XJaftpv1njhqyPADCSPbNyq95cW6XGlpC8Ho+i8WlkTCcDhkuvmQpugOARSasTmq+X9AtJh0r6sDFmQafLPi2p1lq7VNL7ks5LTXcBABg5Vr5fJUla2ENQoHPF8rlTSzV3aqlmThqjUDiqN9ZWDWkfAWAk+8O/rVat2611W+s0dkz7NDNq3wLDp9eggrU2LOk0SSsSmo+T9Ji1NibpMXc/0fGS/uluP5rkOAAAWS0ajen1NZUqyg9o7tTuC4FNn1gc3z5u8RRd89nF7n8HyOf16JX3dmmbW5cBANC98pI8zZ9RJkmaNC75ijsAUq9P0x+stZXGmMSmAmttWzWUSkmzOl0yQVJVwvEJPd2/rKxAfv/IW86loqK495OANODZRCYabc/lux/sVl1jUB8+eJomTBjT7XlXf36Jnl25VR8+ZLp83o5zgPeeWqrVG2v0g9+/qj9df6JyAyPv38pMN9qeS4wMPJcDM7GiSJeduUhVtS2aVF6Y7u5kHZ5LdGeg1UlyErY9nfYlKaD26ijJjndQU9M0wG6kT0VFsSor69PdDaALnk1kotH4XD710kZJ0oLppb2+9wPnjFP17oYu7V8+Zb6uuO2/ag1GtPaDKo0v45u3VBqNzyUyH8/lwPliUm1Nk/wSn2GK8Vyip6DSQFd/aDDG5Lnb5ZJ2dDq+U9K4Ho4DAJC1YjFn6kNejk/7TO++SGNvSotyddLS6ZKk2oZgqroHAFnp8IUT090FYFQaaFDhOUknGmM8kj4mabkxZrox5iH3+HJJJ7nbJ7v7AACMCrvrWlS1p0ULZo7tda303pQUOsl+tQ2tvZwJAKPbjIndTzUDMHQG+pvO1ZIuk1O88Wlr7atyplLMdI/fK2msMWaFJCPp9kH2EwCAEaMlGJHUHhAYjNIip5o5mQoAACAT9bmmgrX23oTtrZKO7XR8naT93e2QpHNS00UAAEaWtmUiB5ulILUHFfaQqQAAADLQ4H/bAQBgFNtV26wX39mhaKx9UfTUBhWY/gAAyTS3htPdBQAa+OoPAACMetV1Lbr2zhWKxmLasbtJHzl4qgrzAglBhcEvAVkSDyoMbvpDOBKVz+uRx+Pp/WQAGAFq6tuDrWceOyeNPQFGN4IKAAD0w/Ortis/168DTYXWb6uLZyg88sIGba1q1CWn7adg2KmpEPANPlMh4PepMM+v6roW7apt7vN1YwoCystx/pn/y1Pv68lXNuuQBRP05VMWJD1/S2WDCvMCKivOHXSfAWA4hCNOAPf4A6fohEOmpbk3wOhFUAEAgD7auKNedz/2niTp7ms+pKZOqbeV7qC/LVMhJ5CaWYalxbnaWtmoa371Yr+uO+2oWTr5sBla8e5OxSSt3bIn6Xmbdtbre/e8Ikn60VcO07iSvKTnAUAmCblBBX8KppoBGDiCCgAA9KCmvlV5OT41Nof0+3/beHs0FtP7W2o7nNs2vzc+/SEFmQqSdMYxs/Xq6so+nx+KRPXSuzv15roqnbR0uhqbQ5KkxpZQl3N31TbHAwqS9Oyb2/TJo2YNvtMAMMTC7t+1/hT9XQtgYAgqAADQjY076vX9e19Jeuz8m56Jb/u8HkWiMTW2hLVyTaV21jgZC/m5qflnduHsci2cXd6va9Zt3aOqPS1qCUYUiTpTNJpbIwqFIx1qPazrlL3w0ns7ddLS6coJDL4eBAAMpXDE+bst4KNWDJBOhPUAAOjG+u11fTrv11cfq7lTS9XcGtYv/u8tPfrCBkmpCyoMRHlJnvY0BLVpZ32H9tWbnOyKWCymtz/Yrd/8890Ox3fVNOvXj3ZsA4BMxPQHIDPwJxAAgG6s3ljTpa27QoaFeV0DCOkNKuRLkm66b2WH9p/e/6a2Vjbo67f9V3f+4x3FYtJFpy7Q3dd8SOPGOO/tNdv3qRYAkC5MfwAyA38CAQDoxiurd3VpO2zfiVo4e1x8/7LTF3Y5JyfglcfTfQBiOHT32hPK8vX6mkrVNQbV2OLUgJgzuUSSdIG7MkQO3/oBGAHC0dTWrwEwMNRUAACgH/JyfPFVHvaeUqJFc5xaB8UFgfg5F5w8X5MritIaVJg6vqjD/iePmqVXV+/S5l0N+vtzH3Q4NqYwR5I0d2qppk8o1vbqxmHrJwAMVChEpgKQCQgqAECWicZi+vUj76qmvlXnnbSPKkrz092lESkacwqA7T2lRCWFOXrVnRLg83q1cPY4bd/dpBMObl8X/bSjZ+s1W6mj9t9LB8ytkNeT3sJhi02FvnvuQdprXKE27WrQzEnF2rC9Tpt3NXQ5N/EX8nEledq4s17vfFCtBTPHDmeXAaBf6pqCkjoGdQEMP8J6AJBl1myq1Uvv7tSazbV6e/3udHdnxGorcFiQ69dXP7lfvD0ai+kTR87S9ecdrAPmVsTbxxTk6BdfO0pnHDsn7QEFSfJ6PJoxcYxyAj7NmVwin9erg+aNjx8fNyYv6XWnHDZDknT3Y+/Fl8gEgEy0p8EJKpQWpS8rDABBBQDIKivfr9TNf24vzFfT0JrG3oxsP7j3VUnSnkbnl9YLTpmvvByfDp0/QbkBn6ZUFPV0eUYqL2kPJBy1aC996uhZuuDk+R3OmT6xWB5JNfWtuvXBVcPcQwDou1r337jSopw09wQY3Zj+AABZ5PlV2zvst32Lg/5paA4p5m7PmeIUMVy6YKKWLpiYvk6lQNuKEJJ00qHT5fUmz6hoe+92c+0w9AoABqa2MSivx6PiAoIKQDoRVACALNI5Xb2hOZSmnjii0Zi2VTWqoqI4rf3or/e3OIPp/WeP0yeOmJnm3qROWXGubrnkcBXlB7oNKHQWDEWUE/ANcc8AoP9q61s1prDvf58BGBoEFQAgizS1dAwqNLakd078H5+wWvbGNk0qL9QVZ+yvcSXJ5/Fnmpp6J6X2kAUTVJCXXQXA+jL3+Kj999Kzb26TJF3+i+flkXTI/AkazK/toUhUza0R7TdrrPabNU5ju6npAAB9EYvFtKcxqMnlhenuCjDqEVQAgCxS3ykzoTHNmQrL3nAGpturGvXkq5v1meP2Tmt/+jOERHYAACAASURBVGrDdqdI49ji0Tnw/dxH5mpCWb4eWLZOrcGIJGm5+7McrNfXVOrgfcbrolP3Tcn9RoqNO+q1s6ZJS+aNlycDCnkCI11Ta1ihcJQijUAGIKgAAFmitqE1/g17m4aW9AYVEtWOoKKRazbXqjDPr9mTx6S7K2nh93m1ZN54PbBsnSTp/7N33/Fx3GXixz8z29W7JVuyJLd17y1xSe+VNAKhhB7IwXEHR7vf/TiuAcfBccDRQ8KPhFACgfQ4tuPYjnu3bEtukq3e+9bZmd8fI620lmRb0kpaSc/79corO2VnviuttbPPPN/n+ewDi8hOjxvWMUvKWzhT3sruEzVjPi1ntBmGwX//8ShtnQFqmzzcs27iTKkRYqy0hDs/SD0FIcaaBBWEEGKC6O9Le6c3iGEYo3Jn1BfQcNojP1ZSEx3hQIdnnLQn9AU06lq8zMtPxaJO3iZJGSkuvv74Ktq9ARYWpg/7eDnp8Vy3ZCp7TtYQ0HSCmo7NOn5/vrpugMIV24cahsGBknraurqInChtkqCCEFHQ2vWZlyyZCkKMOQkqCCHEBLH3ZG3Eckayk4ZWH4GgjsMe/UJ7u4tqeH3vBb7y2ArOVrby/T8e5W8fWsySWRkAnKtqpaXdz9zpKZytbKW9M0hTmy/q44i2i3UdAOOyZWS05WdHt8CmoijYrRaqGzr5zPfe4a5r8rn72gKqGjrJy0qI+WkBDS1evv70Pj5yxzw2Hyin3Rvk3z+x9rLPKb7Ywk/+UhReHus6J2Phrf3lPL/lDN/61FqyUoeX8SJEt+6AdWqiBBWEGGsSVBBCiAngZFkTb+4rj1iXmeKiodVHhzcY9aBCa4efX7xyEoAtB8s5UdoEwPObz4SDCu8crsIA7rm2gF++eooLte188ce7ojqOkZSbJcW/RoLNqoanP7z0bhkBTeeNvRf54G1ublg2bYxHN7DKhk7+6Zd7AfhxryCBrhuXrTzf3G4G0t5382w2HyinsqET3TDCGQ5ev4bTbon5gMpQNbf7eX7LGQC+/dvDfPfJdWM8IjFRNHUFFdIkqCDEmJOgghBCTAD9TX3I6Oq08MdtZ6NaFK+1MxARHHhxRynuvBQA6lq8/HVnKaoCO49XAzBjajKP372A3ccqozaGkeayW1kxJ2ushzEhOWwqHd6e5Tf2XgTgQHFdTAcVfvNGcb/r/cEQLsfAl1PdHVlSExxYLeZ0j7LqdmZMTeJibTv/8swBHr1pFjevzIv+oGPAX3eWhh+Pl+4vYnyQTAUhYocEFYQQYgLQQkb48ZzcZFRVCV9o7TtVxxP3Re9cDa1eQroRsa6kvCX8uPeXCACH3cKNK/NYlJ8SvUGIcctu6z9rJqCFRnkkg1PZ0Nnv+j9uO8eHbnP3u23roQp+u9m8S+90WLhxeS7PvXWayvoOmtp8/PqNYnTD4Lebz3DtwhzinBPvsqz4QjN2m4quQ02jh9YOv8yBF1HR3DWdLnWSdukRIpaM3wpJQgghwrpbRyoKfOHRpXzp/cvZsHhqeLthGAM9ddACXS0G18yfMuA+X3h0KbOmJbNuYXbUzismhnvWFbDCncnyOZkR689VtrG7qGaMRgVayCwe2Z+Qrg9YC2Hb4UoCwb4BkYu17Ty76XR4OSs1Llyj4unXi/nxX4oijlnT5BnO8GNWpy9IRrKLh2+YSYc3yC9fOUlFfcdYD0tMAM3tfhx2Cy5H9GsGCSEGR4IKQggxAZzuyhT4t4+vwWY1L7DSk50sKEgFIjMZhssfNL94TR2gxaCiwIKCNL72wRV87O75UTuvmBjWzs/myfcs4qN3zuuz7fdbz4zBiExf/dluPvO9d/rdVt9i3hFdNTeLzz64qM/20uq2Put2HqsOP17hziQrxUX+lIGLf/oDE6+Ao24YdPo07FaVm1bksqAglRNlzfzfp/ZxrrJ1rIcnxrmmdj9piY4JW49EiPFEggpCCDHOhXSdotImctLjyE6L/KLfHWDQQv3fgR0KX9D88pMQF9kb/Mbl04h3Wq9YDV8IAJfDQu/vAi6HlWAUg1+D1djmJ6Qb/Wb1nK8yvwDPzk1mycwM7lybH65ZAmYBwt7PO1PRwuaDFQA47RYevmEWYP57fOyWOf2e39dPtsN4d6C4DjB/Bqqi8NG7eoKMJ8qaOHymfqyGJsa5oBaiwxuUegpCxIiJN3lPCCEmme4vQwXZiX3u2FitZuy4vK6DpHh7f08ftLLqdsAsuLdxyVS2H60C4JEbZvGBW/ufWy7EpRRFoff391nTkjl+vhGvX7ts4cNLmbUJSnj/LbOZMsR2hSG9J+h2orQpou5DdnocLR0BADJSXKiqwkPXz+Tmlbn874vHOVdpZil0eIMkdgXavvnsofDzv/3ENeH1ACkD1BNoaI39dquDtatrOsstXUUoUxMdrFuYzbtFNfxlh1l75cvvX4Z7euqYjVGMT01SpFGImCJBBSGEGOfqms252P19oSrrSsv+1nOH+mwbrpz0eNo6g+HlgQrwCXEln75/IUfPNgDwH88e5GsfWHHVgYUf/fk4ZTXtfPVnjQC898ZZ3LZ6+qDO/8zrPZ0dvveHoxHb7DaVQNeUn4yknuyElAQH//jBlTy7qYSthyp57q3TPHHfQvRLMh0ufR3L52SwcUkOU9PjCXbVcXjp3TKe33yG1AQHc/NTiXNawy0nx6uGVi/HzjUyOzeZZb3qZ8zOS+HdXrUzvv3bw/zDo0uZV5A2FsMU49T5rmBeTrq0/hUiFkhQQQghxrmaRjOokJXq6rOt++5nRrKT+VG8aM9IdlKQnUjJxZYr7yzEAD5w6xx2Hqtm8Yx0znTVBams7+SdI1XcvubqAgPldZFF/36/9eyggwrvHu/5knv3tQXhx+2eAO8cMTNxCnMSmZbZ9wvM4pnpbD1Uyb5TdTx4nZf4Szo4dLeR7KYoCo/f0VNPwuvXOFPRyqkLzfz4L0UA3Loqj0dvmj2o1xBrWtrN7I45eZFdX+y2vjNvn369mP/89LWAWVRW5siLKznSFYRcPDN9jEcihAAJKgghxLhWUdcRblk3Ja1vpoLDbsEfCPGejTO4ZkH0OzHItb8YjhuX53Lj8lyAiHaKJ8uaWDo7g9BlaoHohrnfpe1Nh+uBjTMilq2qyp6TNbz3xtn9ftldPDOD21bn8ea+cjbtL6fkYjNg1oy4msCAy2Hl7x5ZwgvbzrFpfzkAm/aXc+uqPNKSxmervJKLzby4/TzQN4PJYe2b0dT9Y33m9VMUX2zhqx9YQXKUpmuJielsZSspCXamZUimghCxQIIKQggxTp0ub4mY1tBfpsI/fmAFe07WsmbewO0fhyOKnSrFJDe115eDotImvvbzPVf93MKcpIgODFpI75MhcDlWi4IWMvjIHXP7bHvs1jk8dmv/xRW7uezm5dSWruKMALevyY9o63r586s8etNs8rISeOrVU4BZj6B31sR4UXKxmW//9nB42XlJUCHeZevznOZ2Pw0tXrYfNTtm7DtZyy2r8kZ2oGJc6/QGycmIl6wWIWKEBBWEEGKc6r6r2S3e2fdiPTcrgYeyBm5jJ0SsWOnOwuUowes3u4ukJjpYOisDLvOd4e1DlV3PzSTeZaXofBMA56vacNqvXOOjI6jT1NSJxaIS77SwfnHOkMbu6Odcd63NH/Rx1i3KYfqURL7+q320dhWHHE86vMGIgALQ5/dXkJ3Y53layKCkvGcq1fNbzrBhSQ5O+9VfpmohnaLzTSwoTA13vRETU1DTCWg6cYMo6CqEGFnyr1EIIcap3unin394yZiMQW4SiWhRVYXvPbmOspo2nHYr+f18+bzUB291oxsGqqJw+5rpPPXqKXYV1QypMGlSnG3Idz17BzDuXVeAOy8FVR3asbprMnT4glfYM/Z0F9vsTb9keordZuHDt7v59RslEesPlkS2lyytahtU8cYtByv4/dazXLMgm0/cM//KTxDjlqcr8Hhp/RIhxNiRf41CCDFOdd/J/LtHlrBoxtgUq5qXb7aC624ZJ8RwOOyWQbcX7O6SoCgKd6zNJ8Fl6/NFdiCuODv7iqqpbfaihYY+l6d3ltD9G2ZcZs8rS+iaHtDhHX9BBV8gFH7cHei5fum0PvutnZ8dEVRQlJ7Ce92utlZGhzfISztL2dw19eTYub6BDTH+GYbBizvOk5rgYOa0ZADi+snOE0KMDQkqCCHEONXS4cdpt4xZQAFg+pREfvj5DZKGKmLCtIz4QXVNyMxMpLHZQ22zd1hZN0lRLCpot1mwW1U6PGZQQQvpePwaSXGxW7iwurGT3205y/HzZltPq0Xlqx9YTmFOUr/7O+wWvv74Kr7xzH7WL8ph5/Hq8LaMZCcNrT78wZ4AhW4YnClvoTAnCbvNgmEYfOknu2ls87GgMI0TpU3hfTt9Gm2dgaj+TsTYa/cGeWXXhYh1kqkgROy4+ipGQgghYkprhz8mKqTHO4eeNi7EWJvVdddz9TCKmeZlJZCa6OD+9YVRGVO8y0ZFfQfPvH6KT35nG5//wU6a2nxROXa0bTlYwT/+Ym84oABm9tRAAYVu+dmJfPuJa/jwHe5wtgn0BGh6BxVOXTCLP/7oxeMA/Oq1UzR2/Tx6BxS6HSipG/oLEjHJ69P6rIuToIIQMUOCCkIIMQ7phkG7N0hiDAQVhBjPNi6Zyj99eGWfVpKD4XJY+e6T67g3SkGFpDg7Id0Id0MAqG70ROXY0Xa+yuy6cWuvbg2Wq6wnkZniwqKaWQ3dVrgzASIKVba0+wEoOt+EYRgcKI6sv9Dty+9fBsDh0/1vF+NXdx2F3rL7aaMshBgbEuITQohxyOPTMAxI7Kc9mxDi6qmqcsW76qPtkRtn8Z3nI7sovLHvIg6bhVm5yWM0qv61dZpf+N+zcUa4I00wpA/qGIU5ScydnoJ7emq4TsuLO0rZdqQSVVFYNLNnitfWQ5X4gyGWzEznXFUbHd4gq+Zm8an7FqAqCvnZiZwoa6apzUdakjNKr1KMpWPnGnhltzn14d51BaxdkI2qQFaqBBWEiBWSqSCEEONQu8e8i5cYw/OshRBDMy8/NXzHvtuJ0iZ+/UbxGI1oYK2dQVwOCw6bhfWLzJac0zLiB3UMVVX40vuXc9/6Qgqyk/jkvfPRQjr1LT5qm71sPlAR3ve5t04D5vSJB6+bQVK8nWWzM8JTKBZ0dYxoaI3N6SJi8H7zZglnK1qxWhRmTE0mOy1OAgpCxBjJVBBCiHHo5V1lACTGSaaCEBPRx+6ax/z8VOJdNn761xMAVDZ09tnvR38+TlDT+btHRr+tbF2zh4r6jvDy43fM5bFb5+CwWS7zrCtbOz+bYFCnqLSJ/cV96yM47RZuXplHgsvGdZd0l0hOMAOtrZ2BPs8TsetMRQvbDlfS2OZnfn5qeCqRrhs0twcoyE7kHz+0Aosq90OFiEUSVBBCiHHG69fYc6IWiGxlJ4SYOJx2KzcszwXMVo3PvF6MosCOY1XhfbSQwaGu+gFtnsCod4jonUEAZsaBQx1eQKHbhiVT2bBkKvu/tbXPtptX5oZbb14qJcEBmN1xxPjx4vbzFF9sAeB0eQuNbT4evWk2AU1HNwzSk5wSUBAihg0pqOB2u78M3NNr1fKSkpK4Xtu3APGABrxZUlLyr8MapRBCiLDed+CWzBq7dpJCiNGxcclUdhXVcLq8hadf638KRFtH36BChzeI027BahmZL2NtXdOwPnP/whE5Pphz6Hccq+Yf3reM7zx/mILsRO5Ykz/g/t0dcXoXeowG3TD4w9azzC9IY/FM+bs7VEfONLDnZA2P3jSbBJcNi6rwxr6LFF9sITXRwaq5WWzaX86OY9XsOFbN5x82M3Cy02W6gxCxbEhBhZKSkm8D3wZwu90LgX+5ZJc0YHVJSUlweMMTQghxqV1FNQDcdU0+OemDm7sshBifPn7XPErKW/qs332ihpNlzTz12inm5KaE1/sCGjuOVZM/JZHPPrhowKKFm/aXs/lAOf/04ZWDrtFS1eDBYbOw/JL6D9F0/4YZ3Le+EEVR+O6T6664f3dLyu66M9FS3ehh0/5yNu0v51dfuTGqx55M/rz9HBX1new7VUdakoObV+Txx7fPAbBuUTY3LMsNF/wEM4MBYOog63QIIUZXNKY/fAz49aXHlYCCEEKMjKNnGwBYMjNjjEcihBgtGSkuMlJcfdYHgiFOljVzoaadCzXtfbZfqG3nqz/fww/+dkNErYP9xXU0tfn4/dazgBlcePC6mVc9nuZ2PxX1HeRnJ4aLJI4UZRDH736N/mAoqmOoqOupHfHcW6d5YOMMXA7zMrrTF+Tld8uId1pJTnCwYXHOoMY8mbR7e74eNLX5+cPb5vsvLyuBBzaa77+nvnwDO45V88zrxVyoNd/TqV3TWoQQsWlYQQW3220HbgO+dMkmu9vt3tb1+F9LSkq2XO44qalxWK3RmYM3mjIzE8d6CEL0S96bE9cft5ymvK6DpHg71yzLHevhDIq8L0UsGu/vy7uvm0VcvIOCnKTwl9xuQU3nH364g6CmY3PayUwzU8hPX2zmJ38pitj30JkG7r1+FnuLarh7fSG2y1yXNbf5+EJXrYOQbsTUzzAuoSsjQ1GjOq4j506GH285WEF9q49///Q6PL4g//LrA5RVt4W3509LYeW8KcM6Xyz9TKOl3ROgtSPA0tmZlNe109irQ8fH71sU8ZofvDmJ1/depLbJA8C8WZn9BtXE6JqI70sRHcPNVLgXeOvSrISSkhI3gNvtLgS2u91ud0lJiWeggzQ3D7gpZmVmJlJf3/eOgBBjTd6bE5euG/x+s9lO7a61+ePq9yzvSxGLJsr7cs1A0w8cFm5ekcvmgxVUVLXQ0NDO63svcuxcY59dqxs6+ex/vU0gqHPoVC1PPrBwwMJ433z2YPjxI9fPjKmfYUjXAThV1si/PbWHzBQn79kwY1iZA52+IAdO1UasO3a2gW8+vZeDJfV9siJe2X6O/Iyh1wAY7+/LhhYvaclOVEWhpcOPpulkpLgovtAMQE6ai9tX5/Gt5w6Fn+Oy0uc152bEh4MKRlAb1z+TiWC8vy/F8F0uqDTcoMJHgX8caGNJSUmp2+2uAqYBZ4Z5LiGEmNSa2/34AyFWz8villV5Yz0cIcQ40J294PVr/PKVU+EWkGsXTGHPiVrmF6RSmJPEq7svEAiaX8iPnG3gyJlGVgwQrDhf1YbVovAfn1xLRnJs3T3uDoS0e4LsPWkGAlbNnUJeVsKQj1lR10FIN9i4JIftR6vD63cV1eBy9M3o6E7Zn4xOlDXx3d8dAWDN/Cnh38GtvT6zZuemMGtaMktnZXDkbAOzcpP7fR9Nz07kYFd3EyFEbBtyUMHtdk8DckpKSg53Lf8LcADYBNhLSkra3G53JpAFXIzGYIUQYjJr6TRbpKUmytxSIcTV6f57cbayleb2nnTzj945j0/eswCAk2VNvLr7QsTzGlu9/R4vpOuEdIN5+akxF1DoNiXVRW1zz/hrmjzDCip0ZyJkpcZx4/JpGMDbhyoBuHZhDotmpPHXnaWUVpvBhIZWH89tOs21i7IpzEnq95hHzjYwJzeZuCG2Bd5ysILn3jrN3OkpfPHRZahqbNRwePndsvDj7oACmDU7kuJsxDutLJyRhqoqfO6hxVyoaWdaZv9FGDcuzuFgcR0P3zBrpIcthBim4fQYehx4ttfyFCCx678tbrd7F/AK8DclJSXSLFgIIYahvK6Dk2Vm6mhyvAQVhBBXZ9W8LBw2C3965zydPg2Af/3Y6og2k/11fXhtb//3g4Kamc1gs45Mm8po+NoHV/Cjz2/kY3fNA8xOGMPh78rgcNgsfOBWN4/dMie8baU7k8UzM/jaB1dw59p8srvqVmw5VMG//voATW2+Pse7UNPOD144xld+tgctpA96PC0dfp57y5wKV3yxharGzqG8rKjz+IKc7qdDSbc2T5B5+akR77387MQBW54mJzj454+uZkFhWtTHKoSIriFnKpSUlPz7Jcuf6rW4asgjEkII0cfXf7Uv/DglcXBt34QQk1e808b7b5nNvq67xtOnJDItM/KufUZyT7vJlXOzOFBcR1tngNpmD1NSI2sDBMZBUKE7SBLuBBEYXieI7qBE9/F6d7uY3dXG06KqPHT9TOKdVv647Vx4+7/9vwN898l1aCEj/DOr7aol1uEN8u+/OcjXHx/cZfOvXj0VsVzb5CE3c+iZGNHyH88e6rNuxtQk7t9QyPd+fxQwAwVCiIknGi0lhRBCjBCvX+Ofn94XsS5FMhWEEIOwYfFUNiyeOuB2l8PKIzfMoq7FywMbZ5A/JYE/vXOeb/7mIN//3IbwfrpucKK0CQB7DAcVujnt0Wkv2V1rwmHvqZ/wzx9ZhUVV+kw7yL1kmkVLR4DT5S185/kj3HnNdDYumcrxXoUyL9S0o+vGVU9fuFjbTlHX7yA9yUFjm5+qhk5WuC//vJCuc/RsI3Onpwx5ysXlaCGdqgYzY+Km5blMz05gYWF6n+l6OelDL2AphIhdElQQQogYtuVgBfUtkemzs3KTx2g0QoiJ6vY108OPV83N4k/vnKfNEyQQDGHvukN/7Fwjv3jZbK1YUR8bKfeX0x0E2Ha4kqLzTUM+TklXSn9yfE+W2PQp/VdBX1iYxmO3zGFKqoui0iY27S/n2789DMAruy7wyi6zdsWUVBdTM+I5fKaB/3j2YET2g81mIdgrEHK2shWAn37hunAWxBfeu5SkeDtf/9U+WjsDV3wNJ0qb+dGfjxPvtPLDz28czMu/Km1dY1gzfwqP3Tqnz/Yf//1GDhTXc+3C7KifWwgx9iSoIIQQMczjj5wLvGFxzoDzT4UQIhqyek15qG32hoscVveau19e1zHq4xqs7LQ4kuLtNLb5aWwbXnmvKakuCnMGbqfWTVEUblqRC4AvEGLT/vLwNouqsGb+FBQFNi6ZSmVDJ8fPN3GhZuBuEYbR8/iJ774DwIKCVBYUpoXrNXTXyrickovN4X3rmj0Rv+NoaPeY3eUT4/rPgnDaraxfnBPVcwohYocEFYQQIoZ5ui4WF89M59i5Rubmp47xiIQQk8GjN87id1vPsr+4LhxUaOnouSN+59r8sRraVUuMs/P9z64fs/On96pVAfDEfQtY4c4KL8/OTeH6pdP6PC8zM5H6+p5Awzee3h/RpvKh681uCAku8wt8hzd42XEcKK7j9V6FN7/xzAF+9PkNKEr0OkZ0Z0v0zuYQQkwecrtLCCFiVFDTaey6E/Xh2+fyjx9awTULJHVUCDHylszKwGm38MquMj76ra0YhsGBkjoA/v0Ta3hg44wxHmHsy0mPC3/xB/Nu/VB8/pEl4SKR8U4r+dlmxoTdZiEpzkZNo+eyz6/sqnWQ29W60evXOFfZNqSxDKTdYwYV+uskIoSY+CSoIIQQMabDG8Tj0/ifF45yorQJm1UlMc7GzKlSS0EIMTqmpMXxNw8sCi/XNHlobveHt11tYcHJzGm38j+fWx8OCKQlDa3IbnK8nf/9u408dP1MvvHR1RHbpk9JpLHNd9lshc6ubR+/ez53rDVrZ/z85RN4fJfPcBiMtq6gQpIEFYSYlGT6gxBCxJCgFuJz/7ODguxEWjr8JMbZ+LtHlkgdBSHEqJtfkEa800qnT2PrwcrwejWKafMTnaIofPNTa/H6NXLS44d8HFVV+p1yMn1KIkWlTWw+UN6n/SdAZoqLzQcrALO96OzcFF7nIg2tPl7cUcpjt8yh3RNgV1ENK9yZZCS7hjS+7kKNSTL9QYhJSYIKQggRIxpavXzpJ7sBKKtpx2ZVyU6LoyA7aYxHJoSYrP7rM+v4wv++y5ZD5hdTmYI1eCkJDlISRqYV8Iyp5ufDS++WXXY/RYHURAdxTivL52Ry6HQ9J0qbqGroZNuRSjYfqOD3W8/y/c+u7xMYKLnYzCu7L/Dxu+aR3PU6/MEQhmFgt1lQFYXqrikYUlNBiMlJggpCCBED6lu8fPmnuyPWBTU93GddCCHGgsNuwaCnBYHTIX+TYsnSWRk8cd8CfIFQn23tngA7jlbj8Wt87sHFqKqCy2Hlbx5YxGe+9w41TR7+zy/3Rjyn+GIzy+dkcqC4jpVzs7BaVJ7ffIaLdR38dvMZPn3/Qo6cbeCHLxwLvytcDitev0ZhTuKQp3gIIcY3CSoIIUQM+Pqv9vW73iFBBSHEGCvMSeJkmdmS0GmTv0mxRFUVVs+bMuD2u64p6Hd9f0EIgG2HK/npX08A8Kd3znH7mnwudrUPPXq2gT0navj5yycjnuPtan18x5r8qHaUEEKMHzJJVwghYkDvC7y7ry0IPx5qtXAhhIiWT96zIPw4O73vvH0x/jx8w0ymZsTz3SfXMX1KAqmJZoZB8cWW8D6NbX6ee+t0eDmg6eGAwrLZGVh6Feu8dmE2K9yZozR6IUSskatVIYQYYzVNke3AZk3rqaGg68aluwshxKhKirfzsy9eR4dXC3/5FOPbHWvyuWONWfjxnz9idpT4yk93U9fiBcBqUdFCevjx8jkZ7DtVF37+kw8s4mRZE8UXWrhj7XTinTaEEJOXBBWEEGIMPLuphJQEB3ddk893f3c4vP69N85i8cwMrlkwhd0nanFPTxnDUQohhMlmtZCaKFMfJrK/fXgxu4pqiHNauWNNPn/efp5N+y7yrx9fQ0DT2XeqjsUz03lg4wxURWFhYToLC9PHethCiBggQQUhhBhlp8qa2HrIbM+2cm4WjW1+5uWn8g/vWxbe5xP3LOCWVXnkZiaM1TCFEEJMIjnp8Tx43czw8gMbZ/DAxhnh5V995caxGJYQYhyQoIIQQoyipjYf3/ndkfDyjqNVACTG9U0dlVaSQgghhBAi1kmhRiGEGEXdGQrd6lt9ANI6UgghhBBCjEsSVBBCiFHU2uEHID87EYCWrmXp8iCEEEIIIcYjCSoIIcQo6vSZ/bw/dJsbgLMVrQCkLTKYBAAAIABJREFUSUV1IYQQQggxDsmtMSFigHX/XjBAW71mrIciRkhNk4f/ffE4rR0BFOjTlm2aFGQUQgghhBDjkGQqCBED1Pp6bHt3g66P9VDECPnNmyVU1nfS4Q0S57T26entckiMVwghhBBCjD8SVBBijCnNTSidHSheD0pH+1gPR4yQNk8g/DjeacNmVblu6dTwOpdDCjUKIYQQQojxR4IKQowlTcP1i59iKT1vLvsDl9//Kin19dhfe0WCFDGk3RMMP1ZVBYCctLjwOinUKIQQQgghxiMJKggxhtS62ohlJeBHaWjA8dc/g9c7tIP6/bie/gXWomNYjx2NwijFcP3wT8do6+wJGDV3dXzITo8HIM5hJTHO1u9zhRBCCCGEiGVya0yIMaI0N2F/600A9PR01MZGFL8P+7atqJUVWAtnoC1eOvgDnz/fc47W1iiNVgxVS4efw2caAJiaEU9VQydK17ZFM9L4t4+vITPFhdUiMV4hhBBCCDH+yFWsEGPAUnQc1zNPodbWoM1bgLZsBQCOF/6A0t4GQCi/YGgHnzsX7+MfB0DxDTHbQVyV2mYPn/zONg6W1A24z8GSegAsqsJXHlvOnLwUPvvgYgAURWFqRjw2q/wpFkIIIYQQ45NcyQox2kIhbIcOYFis+O+5n8Dd9xKa40ZbtAQApa0NFAUjIXFIx+app7CeOmEu+/1RHLi41M5j1Wghnf99sajf7dWNnTz31mkArls6lQSXja88tpx5+amjOUwhhBBCCCFGjEx/EGKUqLU1OH/9KwBC0/PxffbzoJiJ8EZCIqGZs7Ae76qBYBhYTp4gtGjxoM5hKSmGigqMvJn477oXI3EIgQlx1ZLi7eHHB4rrWDk3K2L72cqe6Sf+YGjUxiWEEEIIIcRokUwFIUaSYZj/AbZtW8OrLRcvmFkFvYSm50cs244PvsiitfikeazCGYQWLES/5JgiugK9AgU//ksRrZ2R3Tua2noyRRJddoQQQgghhJhoJKggxAiyvb0Z1w+/j9LUiKWyImKb5WJZ5M5OZ8SiWl0FgUG0mDQM1JoaSEjASE3Dcu4Mrp/9L0qbFGscKZ0+LWK5sdUXsfzKrjIA5k5P4b4NhaM1LCGEEEIIIUaNBBWEGCmGge3AfhSfF9cvfwaahrZiJXp2DmAWa7xUcM01BNdvJLh6LYRC2DdvuqpTWc6dIe4730TpaIeCAgAcf/ojSmsr1hP9z/cXw+fxBSOWG1ojC2M67RYAvvjoMhw2y6iNSwghhBCxRa0ox/7aKyh1Axd3FmK8kqCCECNEaW7qsy40JQf/7XehT8sleP2NfbYHr7uB4LXrCRXOAMBadOyqzmVYbeb/XXFw660AaAsWmesU+Wc+EnTdYPvR6oh19S09QQXdMAhoOvnZiaiqcunThRBCCDGJOH/7G6xFx3A980vQtCs/QYhxRAo1CjESdB3Ha68AEFy3Adu7OwAw4uIwsrLwPfahyz89Nw9UldDMWVd3uvwCfI99CD0zi4SkJKhvJ7hqDdYTx1HbZfrDSNhzsqbPugPF9czOTSHeacXj1whqOnmZCWMwOiGEEELEjF5BhJB7LljlK5iYWOQdLcQIsL/2CmpVJWAWTewOKhAff3UHsFjwfPErV7evrqNWlKNPnRbxIWUkJQGgtEpQYSRsPlDRZ92F2na+9dwhAB67ZQ6AtI8UQgghJqvOTizVVRh2s1iztmIlgZtuHeNBCRF9ElQQItp0HWvxSfS0NHyPfRhcLoz4BAyHHX1K9qAPp9bWoGdmgXrJNAavF+x2LBdKcbzwB7T5CwncfW/PdqeT4DXr0DMyh/mCRH/qmr3kZsYzKzeFbYcr+2y/UNsOwLTMqwwkCSGEEGJCsW/fhvX4UYzkZABC0wuwnDyBEtLQFi0Z49EJET0SVBAiypS2VtB19Oyp4HIBELjplkGnutm2bcV26ABoGoEbb0ZbuTq8TS0rxfmH5wlesw7F6wFAW7K0zzGCG64bxisRA9ENA69fI86ZwHs2FGJRFEpr2jhf1RbeZ+exalRFISddggpCCCHEZGTtag+uzXYTmjkLfUo2cT/4HgChvOkYKZLNKCYGqeAmRJR1TzfojkoDhObOIzRr9uCO094enoNn37oZy8kT4W22I2aKvZ6egaWsFMPpQp+W2+9xbNu29ky/EFHh9WsYQJzDSmKcncdunUNaoqPPfpmpLmxW+TMrhBBCTGpxcej5BRHtw1XpAiEmELnaFSLK1LauoEJKyrCOY6SnRyw7Xvmr+UDTsJSex0hNJTRrNkpLC3pWP9MjAPuWTdj27ZGgQpR5fGawJ97Zk33SX8vIuibPqI1JCCGEELHFf+97ALBt34bleGRHL6NXgEGI8U6mPwgRZUpLCwB6UvIV9rw8bc5cbDu3h5eNRLPwolpVCcEgekIizuefNbcNkD5n7f0BFgpBMGhGyQ0DFGlzOFTdQYU4py28zt5PUOGRG6+ue4cQQgghJp7Q7Dk9XcAs5nWC54tfAV2XDhBiQpF3sxBRFly1htDsOeipacM6jpGR0fM4KQnfex4GwHLxgvn/8os92xMT+z9IIABAaNZsbDvewbZvD94nnkStrMTx5mv4b76N0MJFwxrnZHT4TD0AVktPYCauV9bCezbO4K5r8lElcCOEEEJMTh6PeQPH7wd6ZbCqar/ZpUKMZxJUECLanE707JyoHMr3oY9g27ML/533mAECw0Dx+/rsF1y6/LLHCRUUYt+8yVzQdRwv/wUAx2sv45GgwqC99G4ZAOV1HeF1rZ2B8OOUeLsEFIQQQohJzL57J9aDB8LLenJXUMHjQa2rxVJWij4tl9DsOWM0QiGiZ0hBBbfbrQAtwPGuVd8qKSl5pdf264D/BBTgGyUlJa8Od6BCjBsdHRAfH5XpBXp2Dv77H8T+6stYT5j/3IKr1+L5+y9hPXII+9bNBK9db56vH6GZs7CcO0soLx996jTUmmpse3ZfslMonJInrs6s3GTOVrTy3l7TG1a6s9h5rBqAvCkJYzU0IYQQQow2vx9stogMBKW9PXKfuDgALJUVOF58Ibza86WvjcoQhRhJQ81USAaKSkpK1g+w/YfA7UAA2Ol2u18vKSnRh3guIWJfKIT12BG0ufOJ+8kPCU3Px//e90ft8JaqivBj2749BK+/EW3l6og2k/0x4sxgg+vpX5jLCYmECgqxHjsS3kfxdGLEJ0zaVLwzFS00t/tZNjvzqjo1BIIh2jsDZrvIjJ5gzuKZ6fz336zD5bD2W19BCCGEEBOP0tyE6xc/RZ86DT0tncBtd4DFEg4qGElJhApnhm82GTbb5Q4nxLg01KBCGtDQ3wa3250PdJSUlFR1LZcBC4Fj/e0vxERgf/N1rEXHsL/1JgDGMIs0Xkqb7ca2b0/PikAA7PYrPk9Pz4hYNuLiCOUXoC1bjtLcjKWsFOvBA1iPHcF/933oM2ZGddyx7nxVG9981mzPuWFxDh+5c95l9w/pOj/96wlqm72sW5jdZ4pDckLftpJCCCGEmKA8Hly/+ClgFtJWqypBC6KEQijNzRgpKXg/8enI7NVeQQXpACEmiqHemrQBS91u93a32/2i2+0u7LVtCpEBh/qudUJMWNaiS9oEJSVF9fjBDdfh++Dj4WXF03lVz9NWr8H7yU/3jMvlApeLwC23o2dkAmAtPoni82EpKzW7QkwiLR3+8OPj5xspr+tACw2cVPWbN09z5GwD8/JT+dDtc0djiEIIIYSIUZYLZeHH2jKzvpW1+BSWM6dRfF5COdP6TIc1bD03hRS/f9Jde4mJaUiZCiUlJSVAPoDb7X4Q+DlwS9dmG2YthW4KcNlbqqmpcVit4y9dODNzgIr7YvLJTDWr/HbLSIJovz8yE+G2myApifjZ0y+/a+9zZybC3FlQXg4rFveMa3o2nHJAyA/xDjh1FJYvhNmzozvuGBZX0RZ+3NIR4Ou/2sfH71vIfRv7Zmy8tquU7UerSIyz88+fvCainaS4OvI3U8QieV+KWCTvy3HinGFeQ2Vmwow8OH0icnvB1L7Xg5ag+Zwu8amuiOyFWCbvSzGQaHR/eA34Qa/lWiC913IGUHO5AzQ3ey63OSZlZiZSX99+5R3FpKA8+H4sF8qwFJ/CUnoevy2e0Ei8P5asMf9/mWP39960pedgKz6LzxKH3rVNTUjH2emP2C9QWomWkh3dMcewmoa+P8dXdpzn2nlZEevqWrz85E9mNsrimWl0tvvobO/bhUMMTP5milgk70sRi+R9OT4oba04t25Hz84jsPEGLDVV2LuuqwynE23FKrTsAoxLf5d+nbhOP/rUafgeeR80e0GJ/WsKeV+KywWVhtr9IR1oKSkpCQEbgGNut/tfgAPAy0CG2+2eilmocQ49XSKEmHCse/egdHYQvOEmtDlzUasq0QtnjPWwImiLl6DNnd/TIxmzs0Tw2vXYdu0Md4lQmxrHcJQjzx8MYVEVrBZz5leHJ9hnn5Ded/rDn985F378wVvdIzdAIYQQQowLtt27UJqbITMLIzMTvb0n+9H/4CPo03L7f6LDgeezf2fWxpLuW2KCGGpNhaXAAbfbvRP4MvC3mHUTEktKSgzgCeCvwOvA35aUlAQGPJIQ45z11Amsx4+ac+YcjpgLKAAYiUkY6el9Prz0zCy0eQsIbLwBAKW+fiyGNyp0w+DT332Hbz57MLyutqlvlpTXH+qz7mJtBy6Hlae+fIN0dhBCCCFEWHDttQDoOVMBCM2ajT512uWf5HKBz4fS0GAW3xZinBtqTYUtwLJLVn+q1/atwKphjEuIcUFpakStq+1ThGe8CLnnEnKbBQf1nKnmh9wE5fVrAJRWt1PT5CE7LY6aJg8WVSGkm0WSElw2OrxBPD6NOKf557GtM0BNk4dZucko4/T3LIQQQojoUnxeAPSErpRwlwvvE09iJCRe1XWhfed2rEcPA+D5zOcgIWHExirESItGTQUhJi37m6+bDyZA5d7e3SUmog5vz1SHr/18D7/6yo3Ut3hJT3aydv4UvP4QumGw5WAFdS0ekuMd/Ouv94fbRDokQ0EIIYQQXZSWFvNBfHx43aBaivcqUm+pqiQ0R6ZXivFLggpCDIPaYRas0XPzxngk4kourZ/g9Wt4/BrpyS7u32BOWXnrQDkAtU1eDp9uoKUjQEuHmZa4YXHO6A5YCCGEELHJMFBru+rQDzGL0VB73azop56TEOOJBBWEGCKlocEs0APoEyBlTa2uwvHnF9CWLiO4bsNYDyfqemcqADS0+tBCBnGOng/1KalxANQ0edhVVB2xf7y0kBRCCCGE34/t3e0ENt6AkZEx9OP0aiNpJCVFYWBCjJ2hFmoUYsJTq6tQGgfuhmA70lPwTwn27SIw3hg2O0pnB0pHx1gPZURcGlR45vVTADgdPbHV7HQzqLD5QDmNbZHtNq0WqacghBBCTHaOF1/AdmA/tv17Cc2aPeTj6GnpgFlMW8/ulQ1pGKjnz0n2ghhXJFNBiP4Egzh/8wzY7Xg+/8V+d1FrzLQ3/x13oxcUjN7YRogRZ36hVjydYzySkXFpUKG02py6ktJVMwEgM9lJbmY8FfXmz+CBjTPQQjpFpU3kZw/cm1cIIYQQk0AohOXiBQCC64eX1alPMztE6FOngqqiNDZiqSwHrw/7O1sJXrue4PqNwx6yEKNBMhWEANTyi+EKvACW8q4PjKXLByzCGJqej7ZwMaFFizESh562ZhgGh8/U09jqG/IxosLlAosFpa3tyvtGUbsngMc38pkelwYVuj14XU8LUEVRuPvagvByTno892+Ywf/50EqcdonBCiGEEJOZ9cRxALRly9GWLh/WsYykZDNoEAhgOXsG2+53sb/xGvZ3tgJgOXN62OMVYrRIUEEIwLZzu9nJQdNA03C88Adz/b49A/5RD268nsCddw/73NsOV/LDPx3nmTeKh32sYVEU9Owcs0XmKE3n8AdCfOVne/ib7+/gQHHdiJ6rO6iQmeIkvqtd5Lz81D7BglVzs8KPLapMeRBCCCEEYBjY3t4CQHDNNcNvJ64ohKbnYyk9j1pViXFpfS6r3MwQ44e8W4UAcDrN/weDWI8fi9ikeD0jdlp/MMRvNplBixOlTSN2nqulZ2WhVlagNjWiT8m+8hM6OkBVoWvqxGC1dPjx+jUAXth2LvxlfyQcOdMAwP/50EoS4+wEgiEs/dRJUBSFrz++iq2HKlhQmDZi4xFCCCHE+OJ/9DEsJ08MrnXkZRh2cwqmEvCjJ6UAEFy3AcvZMwRXrjZ36ugg7uc/xrDZ0RYsJHjDTcMPaAgRZRJUECIYxLCYHQAULUgov8Bcr6qg69jffB3DaiO0YGH4Kbad21GrqwjccRdGwuDn2ge1EFUNHt45WhVeZ7UoGIaBMoYfFNqsORhOF/bXXiF47XpC7rkD7+zzEffjH6BnTcH3+MeGdL72XlMS6lq8fOd3R4Z0nKuVmuggwWVWW7bbLAPul5+dyEfunDeiYxFCCCHE+GF7ezPY7ASvuyF6B3XYAbAUF2PtqmllJCTg+/BHw7tYz50BTUPRNGwH9hFcvRYmQNcxMbFIUEFMeraD+7EWm50ACAYxpkzB8w9fRWlpxvWLnwLgePUlPL2CCmr5RSwV5RgO56DPZxgG//dX+6ltisyA0EIGHd4giXH2ob+YYdILZ6BPnYb1ZBHWo4cvG1Sw7dkFYE6X8PvB4Rhw34F0eMygwrpF2WSmuKD/8hVRM68gdUyDNkIIIYQYZwwD6+GD2A7sR8/MIrjhuugdujtToVeRbOuhg2hLloWXQ9Pywo8DN9wU0YpSiFghQQUxuek6tu3bepaDZio+ioKRkmrOZ9M0QtPzI56mNjVhpKQM6Q97fYuX2iYPeVkJrF+cw8ypybyyq4wjZxsoOt/ENQuvYtrBSHI4IKRjKStFLStFLyjsu4+mYTt0ILxo37yJ0MxZhOYO7u5+uzcAgDsvlfWLc66wtxBCCCHE6FIryrFv3gRAqHDGFfYepP5uyCgK1j27sW9/G23uPNSGBryfeKLn2lSIGCRBBTGpKY2NkcvBAI5nnsJITMT/4CNm4cKKcpSO9p6dDAPF50VPvvr5dFpI59dvFPPu8ZrwuhVzMrllpRl9vnZhNkfONnD0XAPB0PD6EickOOnoGGInCcNg5l+fw97WbC7/8OdcvOV+OnPyInZTtCBpU+aRdcjMVqB2F2zdxakPfXZQp+uuI5EQJ1F3IYQQQsQe69GuqZmKgrZyVXQPrqoYyckora2AWQQ8uHwljtdeNs/dlUmrtLSgT8/Htm0r2qIlGOnp0R3HAJT6etT2VkIzZo3K+cT4JUEFMampdbUAGHHxKJ5O1IZ61LpatGzzrnkoNw+1ohy1owMMA7WiHCwWCIUwrpDu7/VrbNpfjsthJT3JGRFQAEhO6JnmkJMRD8C+U3XsOzWyXRCu5H0Hz0Qsl7ZuIa2jiab4NPbMXttrSzyJCWu4+/Cr4TXl3/8le2euJmgd3BSO9KTBTyMRQgghhBhpis+LkZqK9+NPjEiBRO+nniTuP/8DAK1wJtj7XkM53nwNIyERtaoS2749eL70taiPoz+Gy4Xj6V8QuPV2uCV60z7ExCNBBTF5GQa2I4cA8D/0CGplBbadOwDQumoJBK9dj7XoOEpHO46XXsRS0tP20XBe/ovw/uI6/rqzdMDtqYk9z5+WEc8XHl1KW0dgyC+nW2KSk/a2IWYqAO6GzIjl+RnxuBo6gA4W3z4bNRgkd8tLNC1YTnvhWix3LybzwE4SyktZEfCxdOM0/GmZ/R+8v/HG28jLkoJDUdfZie3APrQFizAyMsZ6NEIIIcS45H/ovWAYo9NxwW5mbl7aXlJzz0Pp7EStqozeuQwDOjtRGxtQ/H6MpCT07MipqJbaagBsu3fBTRuid24x4UhQQUxKSkszlgtlaPMXoORMRc+agvPZX4NuTj3Qc7vS/a1WQnPmYD10MCKgAER0g+hPXbO3z7p/+vBKTl1oZuexaubkRU6fWFAQnfaFmZmJ1Ne3X3nHAcR1fcEPXHcj9ne2YrgMFNVcl5FuoDa2YFc9cGonfvcUQgvdsGoGcf/9HQjamFa0De9nBjcNQkSXbed2bLt2AqA2NeJ/z0NjPCIhhBBiHBulIs/dhRsD6zaCohBcvAwlGDDbfIdCWE8W9anzNVhKbS3W82ex7t+H4uu5Vg1uvB49M8vMyAXweMLTHpT2Nnj6abj3kWGdW0xcElQQk45SX4/r6V8AoC1eSuD2OwEzKqy0tZnTGnoVYAzcfBuGqmI7sB8A/533EJrj7jc9DUDXDb7/x6MUddUL6C03M4HCnCTuXDu8D4SR5H/gYQgECM1fgLZmLc6nfobiNTtV6GnpqNXV4X2NXj8nw2JBCQbND6iODml3NEaUluZwQAFAbagfw9EIIYQQ45dt61uoTU3477oXXK4RO4+enoHi8UC8OR0Wl4vATbcCvRpjWSwYTqe53zBYKi5i2/EOetaUiKCC0tiI68c/JHD7nSitLdi3bkZPzyC4ag22/XuhvBwCgQGvf8XkJkEFMekYiYnhx2pNry/IiUkobW39f2jEmX/k/ffcT2je/Msev7SmLSKg8LmHFvODF44BYLOqwxn6qAjNmt2z4PWi9i5mGR+PEjI7ZARXro7oDOF79APY9u1Bbagn7sc/wPO5v4crTBERI6D7DgNgJCWhtLePbNpmMIhaU42ekYnS2SlTLYQQQsQMpa0V6/FjaAsWong86KlpVx8c0DSsRUXm5+oQ2mYPRuC2O8zP6ivwffBxDOfwghtKa0v4nIbdgfXoYYIbr8dadAzrieOoFeVmEAHQ8/LMFpqKAtesMLuiCdEPeWeIycfpxPMPXyXuO98MF2oEMLqiw5q7b1tEozsqexVfzMprO8KPP3jrHHIz44c54LFjO7APAG3BIhSvB+ezvyZw860YTqcZfOj18zCysgjcfW+42JDa2IA+LXdMxj1peTyotbVoi5ZgPX4Uw+E0A2W9735EWdx/fydi2ffoY9i3b0NbvARt8dIROacQQghxRYaB87e/QWlrM9tkV1YQmjETPSMTbDaC6/qpEWAYWA/ux4iLB4sFxecluHI1qCN7Uyg87fYKjNQhTpUNBFBaW82C5F2dJvSkZIiPJ3jjzViOH8O+6Q2AcEDBcDgIXHcjWK0Er78RMhNhGNNrxcQmQQUxaSitLajl5WYtBEUhlF8QEXnWk5KxgDm1YaBjdFz5j2l5nRlU+Prjq8jPNrMiPnbXvHFZjNC2x2wZabhcWE8cN1f6fGjLVvS7f++fj+X8OQkqjDLXs8+gtLT0rLDb0XPzUIIBDKIbVHD86Q8Yrrg+652/e848dVUl2sLFkRdiuo7S3oaRnBLVsYxbfj/WE8fR5s6HuL4/SyGEEENnOXvGDKxDuGaW5fw5LOfPARBctaZPKr/t7S3hGypGivlZpS1cPEojvgqahtLZgZGQGJGZeFnBIHHf/6/IdYoS8bmjtvZcO4TypmMpv4j/nvsjMzQMA8u5M4QKZ454kGXcC4Wu/vczQUhQQUwajpf+glpdhd/lJDRzNv73vj9iu5GUBKqK4uns++SulDS1trbvtkuUVrdhURWmZvR8iVu3KOcyz4hdgQ3XY9/+NqEZM8MfspbKiohpD70ZVpsZ3bdZCV67XmorjCKlri4cUAjNnoNaVYX/3vsxEpOie6JgEOvBA1jOnSWUNz1iU3dr1vCYWluwFpmplMybRdymrQD4PvxRs+jUZBUMgs2G2tyEffMm7Js34fniV+QiTQghosh67Ij5wG6PmO7azVJxMVyI0HpwP9bjx1DazLv42Gzhz1Qj8+o7Wo00+9ubsR4+hPfxj2NkZQ36+aEZM1GrqsyFXtmm+tSpYLejzZlL4I67+mbm+nzwje/i6PQTuOEmtFVrhvMyJjTrwf2oVZVoK1ejVlWip6ahF84YtWKfY0WCCmJSsBSfQq02/4iGphf0u4+2dDna8pX9Xthry1diJCQSmjnrsuc5Xd5CWU07CwpSx0X9hCvR1qwlNH8+RlIygVtvx77pDWy7dmIpPY///gfMSHlvTifev/lbAGy738X27g68TzzZdz8RdfZtWwDQli4jcPNt4fexWlWJ9fAhtBUr+7SKGjRdx/mH51ErKwAILVyE/+FHzd/17ncJXHcDoQULw797taoK28H95h0iRQsfxnL2jHm4SRhYsJw8geO1l83WXZk9F4RKfT3GlCljODIhhJhY/A88DF4vSkhDra7G/s5WlOZm9PR01MZGMzg+vQCsVrQFi7AWn0Lx+QjlTSdw0624nvkl2oqVMfVl0Ig3b9Qonk6uXIEB1IsXUDp7gv3+9zyE85lfonRlbnQLzZiF5/NfHPhAvWpk9RegEYBhoFZXYdu5HUXTUDo6sJRfBMB/x92EFsVQxssIkKCCmBRsO98BIFRQGNHZIcLlis8oCiH33MuewzAM/vyOmVJ325rpl9133FAUjCSz9WVoen44Je6q+iSHQma6e0ODBBVGmmGYGSTpGQRuvSNik+V0CdYTx7GeOI7nS18b0uGt+/eiVldhJCaZc1LzppsBp647PN0dJvTp00FV0bumNzhefQmA4NprYXY+/OZ5AGzv7sD27g48f/+loRV98vux7d+L4XCgLV0+8L/pGGSpLDf/XbS0YGlpQZs7z7yQDQau6gJRCCHEVepK8TeAUGIS+onjWJqb8T/0XtSKChyvvoRaX4/v/R8EpxP/nXdjPXKYUOEMjKysIX9mjiSja8rCVXWA0LTwlESsVgLXbgCLBd/HPhWeDjIoOTlwtgwjXQoyX8p66IAZTPD5AAjccBOhGbNwPfUzwKxTEVq4KKYCVNE2/m+lCnEFSkc7alMTem4e/ocfHZFzbNpfzse+/TanK8y0ufSkidf1wEhLx/++D5iBGbhi9WG9q5iQ2ty3taaIHtuunTj++DsIBjHS+hZwMpJnAOr2AAAgAElEQVSGOf1B07C/vQVr8alw8abAHXeFAwoAan0dhtMZrpWgFxTg6zW9KLjmGli8GO9nPhuRLWE9dWLw49F14v7nu9h27cT+9hazUGQoNMQXN/oCN97S8/iW2zCyzOwEJeAf+ZOHQpf/WRkGtj27sB4+OPJjEUKIEWApPoVaeh7XD7+P/fVXI7Z1fx4qPh/6tGkAqBXlOH/zDEprC0ZqGsEbbhpwimcsMLq6kVnPlOD465+xnCiK/Lve67F68UL4se+970dbe03PfkOZbvfYY2jzFpit1ycA9UKZWTus+2cWCIDXe/kngVnMc89ubFvfMm+61FRj37Y1HFAIrlyNtnI1Rno6ni98mdD0fNSGeiyl50buxcQAyVQQE55aVoaenoE2xz0iEcLX917gj29H/qGIc0zcf1qKz2feGb7CHWYjNdXcX4IKI0a9eAHbzu0AeD/1mf6n7ixbgX3zJozk5P4P4vejNjWi50ztd/OlNUb8Dz2CkZIasS64eFn49w1gJCRiWMz3R6hwRrjQk5GQiO9DH8Fy5jSOF1/A9s42tNnufluPWvfvxf72FgI33oy2crX5equr+s2Sse3fi2G3m9OXYpT14H7sW94iuOYafA8/ivX4UbT5C3sKoAaCIz4GtbICx2sv4/3Ep80CUl0XT4rfh6X0PNrc+VjOnkGtqkTx+Qhes27ExySEEFETCmHf9DpGcgqK14Pii/yCGFy0FK1wJnpKKjgcaAsXYy06Zk6PHSdF9bozFdA0LOfOYikphldfwvuxT2G5WIb9rTfxfuxTGOnpWM+fBcB/5z3RKZwdH2/eDDh1Am3FquEfb4zZDh80szn37Q2/V/z3PdCTmaxpfa91fT4cL72Ipaw0vEqbNx/vBx5H8XT2DUhZLGaXEZsNw+5ALT2P7eB+/HfeM+EKNE/cbz5CAEpjI47XXkbPmRr+YhJth0rq+6xzTdCggqXoOGpN9VUV/wtnKjRJUGGkWEtOAeYdiAE7KigKem6eedF0aTViwyDuR9+HUAjf+z6AfknhRYJBjIRE/HfdG57KEMrvewcn4u5Hl+5K0np6ep9todlzCK5ag23/XrOI0YyZ5pSArjtF1sMHsb9t1oiwb9+GtnI1zuf+X7iWQ3D9RozERHOahcOB8/ln0ZNTYjuo0HX3X21pJnjdDQQKZwCgT51GcN0G9P7SSUMhbHt3E8qbjpGSMviim6EQlgulhKbloTY3YSm/iNLWhn3TGwQ2Xk/cL35i3pnptX8obzpqVSW2He+gzZ039PZlQggxipS2VpSODhSfD8VXY67UtIh9jKysiOKGoTlurEXH0JavGDfTNLvbnxtx8eHpc0A4zR7A+ewzeD/396iVlWCzEZo3P3rndzrNm0udnUNuVa20tZqfZ903+jo7sR07gtLa+v/bu+/4OM7r0Pu/mdmKDqKwgBUgOexFJEVSFClKpAolUaKaJVu2imUrsixHiuOS+Mavc+P3vWk3zo312rHjOHIkW7J6sWxVFrGKvZdh7w1EL9um3D+exQIgQRIEQaKd7+fDD7G7s4NngQe7M2fOcw7xOTe3y5JG/dBBgh9/gNOnH/boMeo4I8m/7DPcgkLis28idPhQs+CTVlsDjqOOQxZ9qj6fc3JxiksgHMa/aUMqoGCPm4BWXaWOSXJ7nXcJoztgILEBA9HKywj99kW0aATjwH7Vja4b6Z5nPkIk+bZtAUgVabwSymtU2vL//Oq1LNpwlKOltd2iSGNLjGQqnVNScpEtgXAYL5yGVllxhUfVc+knT4JhXPQKRGz+3Wq5yllXYpqmTfrXfE6sT99mH+ah115Bq6wkdt8DxG+4CS1Srw7SWnFFx+3dRwUqzjO2hswI/5ZNsGGdKj7lM4jPvVVdeUmKz5iFb83qVEDBHjsee8zYVK0PADe/QJ0If7aYxA03XnRsV53noSfbmsVuvq3ZQ26fvqpgZTyufhcN2Saui1ZdlSr6BCpLpOmyk4sJvvMmxr69qdt28sDSt3UzxpFDOL37pIpIxefcrK48RSIYe3ejl5URWPgJsfu+0K3XgAohuoF4nPAvfnbu/RepG+CUDFXFpNu7S9IV5GVmEbt9Pl5uLm52Tiqo0JQWi+FfvYrYPfehHzrUflkYmoZ9zWT8K5er5ZCepzp9XcJyCP3gAUKvvQJ+P/V/8V2oqyPtZ/+Wety3ZZPqhhSJ4Nu1A6dk6DnZkRfkeaog8scfqG5VFRUYx44Qve9B9NOn0Gpr8a9aAUD9039O5JvPYhw6gFZVhdu7D26/IozdFoFFnwKqBhSo5Yr2xElqqWdWFtEvfvmS22N7vfKIfeEh9FMnGzNOuhEJKohuzZ40Gf/qVeqG57X7wXE84VBRE2No/2wGFGbw6G0XLubY1cXn3UFi1g2pNX0Xk5g2vUsV0etKtMoKVTwxGLz4UpTMLIxdOzEOHsC3ZROxBffhlAwl+Kc/qA0MA2PfXvzr1qRS3n0b16MfO4qbl4ebl3/pnSM07dzMhyac/gOIzV+Af/Uq9NOqVauXkwOxGBgGXna2qjlg+Ai9+jKgTorj8+449/Ull0/4V6/qlEEF/egRsG2cYcNbTHf0r1iGf+VyCARSJ/pedjZafT2JiZNSgQH/iuV4aekE334TZ0gx8Vvntfye1hCcaHJA7WVmEb99Pr6dOwBUsOjJpwm+/nv0inJV8BIgHCb61ScJvvoyxv59qitFfr4KerSwTEUIITpaQ9C5QXzuLfg2bSQ+55YLP7FJMeouw+eDUIjAZ4uJT59B9MEvoZedIfDpx4DKvjB2W+jHjuJNu67dOw40ZNX513wOqIKR8Tvmt374WzerLxIJ/EsWnXM8GZt3J4GFH+PbuAEA5/AhYvfc37iB5+Fb/TnOiBEtBhu0sjICSxap1s0+H/EZs9DLzhB+4VfNX0efvirTQtPOCdY7Q4eRuHYamp3At2E9XiiklnKS7BTX8HnZBm6fvpffiauTkqCC6NaapbO1c0AhYTt8419UVwm/0T0zE86haZeUIih9jK8cLbmspFVXruNxgu+9nboZfOdN6p95rvHhmbMJLFmIVnoaAGPPbgKffAQkf4dXIjCUkYEzchRafR2BhZ8AyfoLoZAqBJWRkVqbGH3gIQILP8a+dlqLu7JHj8XYv4/4TXPbf5ztwNivaq7YY1o+uPPCyaKn8Xgqc0CrUkVfvbw87LHj8W3djDNwEMH33karqca3ZRPO4CE4I0aesz/f1s34P1+JbY7EOLAfNI3IY0+AYVD/7e8Reu0VEsmDotj9D6onNX1/1DQSN87BrqkhsGp5s8yRxOQpJJoUm2z5BXmqP3xEFUO7UHBJCCEul9GkIGFi5g3YEyd16uVwl0urrEA/egQtHscxR6iAfDKoEFtwn6qXE75wMe22coYOa3a7ofvT+cbpZWaBrquvs3OI3z4fzXEwdlv413xO/LbbcfsVYZsj1DJlTWu+HKHsTPN9lpcTWLoYli6m/rnvoEXq1b42bSB+41ycocOI3X4ngRXLSFw7DWe4mRp34KMP8PLyVPbmhbJTdJ3E7JsAVMeMbphVcCVIUEF0W751a9R68Pu/0KYiaJW1MTLCfnznCRhs3luWWj/luNIMTlwd+rGjeMEQbnEJ0UceT9WuuCCvhfmZlkbk6W9BfQSvoIDAEtXhIX7zbQQWqoMTe+Qo7JGj2/cFnMWeNAU0Db28jPg0lSXhjBnbbBt3SDHRrz113n04I0dRnywIqZ06BQF/p6oFYE+YiBdOS3VOOVvTQJ09aTL6gf1g+JJdNcLEb7ud+K3zMA7sQ1u9Ci8YRIvFCHz8IRFzhAoIuC6+9WvB58O/bg1aTQ32pMk4w03cXnmNB5g+n2qf1uA8wVa3dx8o7E1g0SfNx5p+8aCifugggY8+SN2OPvwI+Hx46eldZt2yEKLrMPZY4PNR/81nLykVv6tqSM1vyNLzsnNUV6bCPmqDKxRQAMDvJ/rgl1IZhC1mSkYi6OVlhH73Iomp01UB4LIzxG+cgz1lKrEF96Ef2E9g0ac4Q4qxx01o9nRn2HDihoFvx3a0sjNop0+juQ7+VStSmY3O0GFgGIR/+fPU84JvvU79d/9aHTMkMwtS+xxuEhk6TH3mXcpFRgkotJoEFUT3ZNsEli7B7ZVH9LEnLvnpry7aw0drjjB5RCFPL2i5kMqyLSdSX/sMWXPcEv3kCfyLF+KMHnPOh4Zom8DCT7DHjsPOy2t9Ct3ZB1maBpGIqmNw1kleYOkScD0S064jMWt2u4z5YtrlilIohFZZQejt19Gqq7GvmUR87q2Xv9924GXnYF97/qwdZ9hwdXVt5Kjm6Zy1teqApuEgSNPwsrKIz56jTtIDAfyfLU5mEGWkilsCuP0H4GVlX15qr6YReexr6OVlqm1WdTVOyVCM7dtUhoRhnLuszPPUHGoi8OEfAbVN9Ikn2z4eIYQ4m+ehV1aqOj09IKDQVNPW3vbY8Vft+7oDBxF95HGIxTD27cG3bk1jMXTPI/Tqy7gDBgA0LkEGAosXqnGGQurE/zyfB15OLvY1k3FzcgksXaLaZZeXY+zZndomlYl3tmj0/EGVtrTRFK0mQQXRLfl2bFNrmFvRa9j1PH721lb6F2Rwz6xiXM/jozVHAFi36zQJ28HvO7fIzdHS2tTXC2YWn/O4AE831PrwnFxoSOHuW6Q+IGIx9cavaWgV5WjV1SpNWt70W2Ts34uxezf6yRMYgQD2xElt2k/9M8/h27eHtOf/lfi8O1IHIrEF9xF85028YJDIE092yd+Dl52DUzQAX/V2fBvWX72gQn09/nVrVFZA00BPXR2+rVtUQOFCP09db7l9Y0ZGs5tO8VCiX35UHUj6fKn0UVAtRe3jx/EyMzH27cUe1U4ZJoEAbp++xOcvaHxN1s5UNxB75Gi1hnffXlVvRdNx+vfHzcsnfus8/KtXYY+fQPjnzwMQfv7/qCtqJUOlAKQQ4vK5LvEbbsQL95wrym5+AfqZUrzMDsr80rTUZ13wvXfw0sK4efnoZ0pxRo5S2QRNMxgMQ30GJhL4du9q9UUmt7iEhOeq5ROuQ/ymuWjRKF52tmr7aBhEv/BF3IJCVfMnHr+yWRrigiSoILofz8O3djUYBvaki18B3bznDBuT/+6ZVcx7yw80e7yqLk5+dvM3qXeW7aeiJsbEYfl86772LYLTnXi5uXjBoCrM43n4tm3BGTiIxKzZhH7737i9+5CYOYvAH95Fi8XwMjKJfOMZOdlogVZWptapo9oQXqrI419XrZLS0lQkn+ZXOZzhJvV//u2uXYxP04jPvxtj/160WEwVamqPehCep9pn+XzgeYR/+xs8XSf66BNg24RefRm99DT+z1c2/gw9j+D772IcOoiXmdluraOaLR9INC7r0k+fJj7/bnV3ci3olaDZiWZXh3w7t6v79uzGOHQQrbaGyFefxEu2Ek3MmAmoytmBTz5Ci9QTfOt1VZvhxrlq7a+klwoh2sowelz9pugjj6NVV3WO985QEK22lsCiT9HLzkAyY87Ny0c/fgyA+m9/D/3EcbSKCpxLDHg7JaqGw/kKHLpNLx5KQKFDSVBBdDv6qZPoZWUqlbgVbYJWbj/Z7PZ7Kw42u/29f1/Fjx6bwqA+jQfzC9erSsNTRhQiLsDvJzFjJoFFn6baexqHD2En2+vpp04SfOO11OZabQ1aVeWltQ/q5rSaalX3oMlVGPuaS89S8AoK8AoKIJFIdRPwzk4V7coBhSackmH4dmzDt2kDbr8i3L790CoqUie6l8S2Cf/Hv6uAjK7j5vZCq6hAA9J+8k/nbK5VV+PZNuFXXlIHUIOHXPJBVGs5o0bjWDsxDh/CGTT4inyPs3nZOUTvuZ/Ass/Qy84Q+fpTaMm0VK2mWnXuyDm3zZY9fiIYBvqJE2gV5SSmzSDwp/fx7dxO7LY78K9bgz1mbGMKrRBCiJb5fHi92vB5diXYDlospgL5gFvUH62mGtscker0YBzYp4pKt+GCiOg6JKgguh0j2TLNaUWBOcd1WW81Vq6tqIlh6Bo+Q+fu64fw2mJ18vXSxxZ/84jKerAdl7qojTkgh2mj+1yBV9C9uGd98Lm9ejVfB+f34/bKQz91ksS10yBhX+URdm7+JYvw7dxB7I67cIabJK6ZfFnF7rSKilSlbO+s9PruoiEltKHGgD1pMr716wCof+47EAi0el+BRZ+ogAKA66JXVqQec/Py8LJzMPbvI3r/g3jZOXi9ehH++fNodWp5lNNQSPFK0DRi9z5wZfZ9AW5xCdHiktRtLz0DLz0Dra5WrWtuqSe6rquU12Taq7F1C77tWwFSrU0Di06h1dV1yragQojOybdhHb5dO4nNuQWvd++OHk6P4+blYdRU4wwcROyhh5s9lpg1G/34MZze3bOFomhOggqi2/Hy8nALe+MMHsLhUzWs2XmaOZP6k5t5bgGfVdtONbv92uK9OK7Hw7cMJdikjkLA17geuqZepRxnZ7T+xKQnc3s3D7zo5eXoFRV4wSBuvyKMA/uJ3Xm3aqvn9+Pbuhk7HD5nPXm3l2zDF1i8ELtkGPH5d6OVluLbtRMvNxfHHNEuKfRebm6TrztPh4T2lJgyFXviNYR/8TOAVEABVLq+M6QYPA8v+9wr6mdzBhfj27YVbBs3vwAtEccZMIj4vDvUBrEYWiya2pdWWQGGTmLGTNyc3BZbPnY7uk7kq1/H2Lc31b7rok9Jti9F0/DS0onPu53gG6+pGgxjx3Weq3CifbhuqqVci0EnIdpAq6kmkGyl2BXrAHUH8bm3EHz/vRZrGCWmXdcBIxIdRYIKovuoq4O0NOxxE7DHjqeiNs7fvrAWgFDA4M7rBjfbvDaS4K2l+5rdt3qHCjKYA3KIJZzU/bsOV7Jk4zFmTyyiui4OQFaaBBVaJT099aU9boKqC+B56ip5spCPVlWJl5eHb/NGAp9+jBaJpNZi9xT+VSvwL18KqBPf+M23En7hVwDEb5rbctumNn0jP9GHH1E//+5auyItDQ91sBP49GPsaybh27QRXBdj395Uu0N7zDgSk6a0fHWrrg50XdWa+Pb31H3RKIFlS0gke2kDEAql2nqBqlodeeqZK/wCO6Fw+JxWoOej1dbg37wRZ0ixKm5ZUIjbr4j4LbcR+PhD/KtWEr9xDsa+vQQ/eL/VnUh8qz/HOHEMp/8AWUbRiWiVFQTffhO99LRqg9varjVCXISxI5mZOqQYLz+/g0fTM3m98lQnCNHjSVhPdB2JBMbePQQ+/oDAwo9V8bQGdXWEX3qB4BuvguuCpqXqHgCpQECDY6W1/Otrm6msjXPjxCKee6Cx2GJmmp/C3DCD+2Tx909OS93/4kcWf/r8EIs3qv1mpktQobWij36V+K3ziN92O7G77wXAGTo8dWLmT667c0qGqtsrlqn12d2V46CdapIl43kY+xsDXInrriftpz9p3Lx4aLt+e7eof6uu0nd1DScvvg3rqf/OXxF95PHU/APwbdtC+L9/jVZTTfDtN6C+Xj3gOPjXribtZ//WrIUVoRDxm2/rthkeV4uXkUn9U88Qu/cB7PETU4VH7fETVbbS9q34tmwm+MH7APg/X3nefRk7thP40/uqjfBnizB2WwQWfYpWVnblXkAsBo5z8e3O4l+xjPC//QuBjz+4AoPqvIJvvp7KTHEzs1RwbuHHaOVX8HckegTjoFpKGZt3Z/cNkgvRRUimgugaYjHC//WrZieaiWun4WVmoZ05Q/DdN1VLwhGjUilwW/Y1HrCs3HaSXYfVWuhIzKasOpZ67K4ZgymtjKZuDyjMwEjuo3evNMaV5KX29caSxhO/3rlSZba13N59UssgHHOEqg6fmwuRCAFdJzFjFqDWZjfQSktbVWizK/KvWIZeUU5i0hS06mqcUaOJPvwI+qGDGEcOk5g+A3vEKALLP8MeN14OltrI7dNXtTxMBqvcPn3B84jdcz/Gvr0Yhw+iVVZibN+OsWc3+oRr8DIyUxkiAM7AQR01/O6tpSrdmkbkS4/g27EN+5pJBJYuPnebeJzgH9/DNkfijBylAgj1dcRvnNNsM+PwQey2FOa8mHhcFe6MqABU9JHHcXN7qTodF/o7ra/Ht24NWiyGb9NGEhMm4RUWquyZPbvBZ6jgYTf7W9ePH1MV4VEV4PH5CPzxD/i2b0WrrSV21z0Y27bi9umrCsleDs/D2LsHt1de24qyiq4lkcA4dlS1E+xpyyWF6IQkqCC6Bl0ndvud6CdOYBw6gHHooGqn5rqE/+s/AFUspiFF9kxVhGNnaslM89O3VxrHztRRUZOsTNs0wwHIzgim6iQAFOY0P9h99v5x1NQnOHiyJnVf0K8zrH/3v9J7paTSFDMyiN91T+MDmkb81nkEPvoAreGqcTejVZTjX7saN7cXoZdfAqB+1GjV93nwkFR7JC8/n9iC+zpyqF2frqfaLKZoGk5xCU5xiXoPcRx8e1U2glZX16wIpjN0GJzdIUNcUV7v3iSSy1EiX30S/6rlxG9L1q/wPNW6cs9u9NLTxNLS0OrrcHv1AsOg/i++i7F3D8E/vKO6TAyrwf/5SuLX39BunU1827emAgoAoRdfAFQx0PicW5pvbNuk/eSfiM+6EXvadGL3PoB/wzoMaxfhl1/EGTgIY++e1OaxeXfijB2nsvA8r+uuEU8kMI4cwhlSkqpnEr/t9tQSLnvSZHzbt2JYuwj9+pfo5eUARJ76JsauXfi2bVHLYW67/ZK+rX7wgMo4AmJ33dMz6pn0QNoZFaTSYlHwPFUjRwjR4SSoIDqnRILQyy/hDBqseq77/biDBuMOGoxWX4tx6CDGvr24+Y1XNuK33p46CHvxQwvPg/tuKGHW+H7n7H7P0Ur+/rcbGDlIFa0LBRsLR10zvPnVEk3TyEoPMK5ErnxcDV66Wuuv2YmLb9wF+TZuAMchMe06gu+/C0Dody8Sn3vLOUUtxRXSUCgu+X9DhoxeXoYzZqzKgKqpViejosN4+fnE5y9Aq6oksGQR+qGDqQyH+I1z8e1TJ+TxObekOno4I0YSGTAALyOTwAd/xLd1s1r+8t2/bnMWgFZZoYpQlgzFKRlKorIS/7o1uPkFxB54kPDPn1cnz46jxmIY+NasJrBEdR/RK9RJsztgILH+A/AvXoh/3Rq0SKTZ9/GvX4tWV5fK0Ig+9DBuV8uUiUYJrFiKb/06EtfPQq8ox83Lxx47PrWJW1CIF05Di9SnAgoAwbfeUN1V4nH0M6W4RUXNnpdactLw9xuNop88gWbbuIWFzdbUB997m/oBA5vV9BFdn1ZWlrqQlLh2GpGvP4WnS+FPIToDCSqIzieRwLdxA/qpk6rN4OyboLZWHRxoGiQ/QAKLF4KmEf3KY3j+QOqAImG77DlaRb/89BYDCgDD+ufw/S9NpF++OuAIBRr/FEYOzm3xOeLqcAYNpv5bf9FuVxY7A622Rp2UFJfgX7cGUIWlGgpX6seOop8+JUGFDuIU9QfU2n2tqpLIU99UD3SzVPSuyktLx0tLg2AQraJCBR3ratWJvGHgDhjYuLGmpbJNmraz1Y8eab5dC7TaGvTDh9WVz3AYrbKC0O9eSrUHZeEnxO7/Aokb56iq5roOwSCJ667Hv3I5vk0bcfr1xxk2nIaAAoBtjmg2vsRNcwEPr1ceen4BXjCIFlVXXd2+jUUMA0sWda0CaJEIac//a+qmfvgQ0a88poqeNv1bMgyiX3mU0O9/h1bduKTRy8ggsuBe/OvW4NuwHmPnDuwRo8Dvh0SC8K9+gRaNEP3il/H8AcIvvaCyjVCBwcg3niH6xS/j274N35ZN+Ldubvfq8/qhg2iO3e51bsSFaadP49+yEd+G9an7EtNnSCaZEJ1Im4IKpmn2B54HCgEXeNiyrMNNHl8IpAM28JFlWT9uh7GKHsK/akXzwlyOQ+jVl1UA4bEnsEeNwb/m8+TGftUXvYnVO04RSziMK75wZoE5sDF4kB7yccOEfgwtyk7VUxAdxO9X/2pr0WtrIBbD69Wr09ZX0MrK1PrtCde0fBLquoR//jwAXqjJ0ppwWKX3eh7G7l04FznhEVdQOExixkxVINRxJJjQ2fj9xG++DVCdYogn0E+dBFC1FM7TGcUeNx7/5g1olZX4dmwnfr6/sbo68LzU3yl+P05xCVpNTWNAAYjffCvO4GSqdZOaEInrZ+GlpRH49GMVHBw8WAVCMjJITJmKW1xyzrdM3HRz8ztcFyIRSE+n/tvfI/jmaxiHDuJftQI7WTvCnjARNyun01W5N/buwc1uPi4vO1st39K0Fte7p7qkRKPox49BOIxv+1a8nFzi069XQYWDB9BPnsAdMBDfjm1otWoJom/dGvX7TzRmszkDBoCu4w4YSDwvH9/WzWq/7SkaVcciQP1z3yHw0Z/U7z63F9qZM2iJOG7vPviXLMTLL8AeN+H8+3IcVawyEiExbgJuT0vh9zy0inL1ue73N96f/BlrtbW4BQU4Q4el6gs1LBVye/dRwTZ5nxaiU2lrpkId8I+WZX1umuafAd8B/rzJ472Aay3L6p75y+LKcV1827bihUK4vftgHDqIb9MG9LIzqv+5ruMVFuL27Yd+4jjxs9qMnSyv55WFuzF0jTmT+rf622qaxqO3jbj4huKq8e3fS+DDPwFgjx5L/PbOWd05/OtfAuAMGNTiwX7wnTdTX8fn3YFx6IAqLNVw3223wy23Se/2DpaYMZPEddc37yojOp2GriVOQQH1g4dcuEBbOEzkyaeb/05d95xaBaHXXkl1JwDw0tMxrF2p29GHH8EtuvDniT16LIGlS1Rqv+EjfsONOKNGt/7vWtcbU/V9PuK3ziP8X7/Cv+wzQJ24p06q+hURW3BvKiNDq6pEP3ECxxxx1d8j9ZMnCL71OvY1k4jPvZXIN57Bv2QxiRtmty7bLBRKBV3iDRcI0tOJ3fuAeq9MZm/51q5OPcU4eRXLgJkAACAASURBVILY/AVolZU4Q4rxbd2MPaaxgxNpacTn3oI9cjRabQ2+zZtIXDO55eKgl8C3bQsAbmFvtFgU/fQpQm+8ipuTi3FAdSFITJ+Bf51qZe3m9sJLT8dLZswYW7cQ/OB9oo88jrFju2pzCxjWLmL33I8zbPhlja9Lqa8n/J+/TN2MPvgl3EGDIRRCq6pCi0Yw6moxDh7A2LOb2AMPYezfh6frak50wmMBIXq6NgUVLMuqAJKXijkOzDh7vxJQEG1h7NiOVluDPfEaiCdwi/oTWPgJgEqDTIp+5bFznnvsTB0//E914PHwzcPJy+4+6fM9jm3jX7IoddO3fSu+7VuJPPFnna6qd2LKVPxrV6NVV50bVGjSKtLt3Qdn2PBzDxw1TQIKnYWmycFqV9Laiu+aBrW1pP38pwB4WVlEH/iiei9xnGYBhcT0GSSun6WuombnoFVWtu49Jxgkdtsd4PdBOKwKLl4GLyeXyFceJ/iHd3Czc7BHjMS3ayeQ7Khw8iTO4DD+lctTmX32yNHE77zr6szh2lr8mzfiX7EMAK2yUo07M+vc4qht4AwdpgqlArguztDhOMEgbkEhTt9+KgCTbBlrT772nOfbEyepL6qiaoyJhFpK2QpaZYXqJtWknoVWU01g2Wfg8xH9whchFEKvqFDdOypUZykvMwt79Bj8q1YAEHrlt3iZWUS+8Qy4bqpFqpuZhZ78rGioLRH843tEvvxYp8tCaRPHURk7ffuB5+FfuRxj/z7c/ALic25WmQmeh5edjVZVBUDo1ZeJzV+AM3IUkWeeRT91ksCHf0IvPY1x6CB66enG+SCE6JTao6bCfcAfzrovYJrmkuTXP7YsayFCXIzrEvyTmkpO/4F4oRC+HdvRjx0FoGpAMUbMJhw8d9rGEw5//1LjWrtJ5mW2phIdy+cjdufdhN54tdndWixKp7qOHI+nsg4Cn6/EPnMGe/wEtERcXUXUNOr/8vv4Nm/EHmZ28GCF6MGaBCC06mrCv/4l0Ycehkq1Jtvt269ZsLrh6vKlBDHbu9uAV1BA9KtfV/sebmKPm4BWX49WW4szdBjGnt3Nlgr6dm7HHj2mxeUWLdGPH1NXy4MBjB07VLDlK4+hl57GC4fxsrLP+9zgh39MBUy99AziN996Ga/0YgPVWx0QOEcsDoBx/BipK12ui3/JIuzRY/GSnUZSEonGOho+H9H7H8TtP4Dwr34Btq0KR6alqV3fcRfGHgt7ytRmyzDrn/5z0v7zFxCPqzbYyS4goGrpkJ6OPW4C9uixoOv4Nm/EOHRQnWSXluLfuA7SAzBpxoWzPTwP/fgxtIoKnNFjOkdANBYj7d/+BQB77HjsUaNTgSf9xHF8WzerLJJrJhN58ml8a9fg27JRdT/ql/wZ6rr6e3z8a2hVlRiWJfWGhOgCLiuoYJrm7UB/4I2m91uWZSYfHwIsNU3TtCzrvP3hcnPT8Pm63pW6goLMi28kWq+yEtLVAV76qBLIz4e8DDi4m+i10/jRb9aRmxniJ39xA4be+OEZidn8+NerqY/ZzJxQxBN3jSYv+/LSHLu6bjE3s0bCB0G1Xjochrw80sclT8w7w8FTWRm89CsoKVHztuI0rD0NdeWwbx888wxkJn8PN0sXAegm81J0XQ8/qP42Dx6Ea64hfcJI+PGPSU8PwoP3ktnZ52ffs4sID1TvPQ88oLKdXnuN9EljGmtMRKPw/vvqPWrIECgthWFNrva+9RmcOKG+1oHaCjLffgVOnlTLMRYsgLFjW36/daKQnwNPPQVZWWR0hvfkluRnQG4mVJwmMyP5WbJ7N+zcDJEq+NKX4MAB9XNJJODv1Qlx6lhkwyqYMBKKB8KxY3DPHY3v6wVTYdbUc79nQSb84HuqVkd+PulHjqT2x82z1eNN3XwDeLMgHof/+GnjbjIyYO7cll9XXR388z833s4Jw8SJF/5ZeB6sXw/19TB+PGSfP2jUZgvXNL7Wayeo71kySM2jT1TWaXpteePP4I656h/Q4l9fQSYMHdD+4xRtJp/j4nzaHFQwTbMY+GdgrmVZLV48tCzrgGmax4EiYE9L2wBUVHS9fvQFBZmUltZ09DC6Df3AfkKv/57E5Gtxhpu4XhBKa9ASBuGEx6LTBhU19VTUxPhg2T6mjurNln1l/OLdbUTjqs1UQU6IB2eX4MbtHv276U5zU3voMbxQKLUW1vfRYnBc7GuTB3J1dYTefgNn6LB2r/J9McF3/oBRVkV8UiGB+NZU0TC7LoGvvBr+7n+ptdGzZreYntvTdKd5KbqoohL1b1by9vFyCjIzqQ5nEfNnQpebnyH45l823vz6t6AigmHtIvjuW7iFvdFPn8KOOPjeeCeVWeXmF5C4fib6uCkE976OY47AHjEKp/8ACIcx9u8j+Nbr8NIr4H+D+ue+kwos6EePYBw6SOKeL6JFI3hxHc7Unmd8nYN/6Cj8a1cT3WJBKETgk4/Q62K4pZXo/+NHQGPdnsDg4RgH9quaENEo9qQpUF6PdtM8lX0WBaKtnCdaGMrq0KuiBLLz8TIyiGUWnH+e2TZpdTEA0tOD1GzfTXTsFNB1Au+9jW/XTtyi/sRumYdXUIB/0nT8S5cA4L39PpGCARfshtBQ0wEg5vpVdkN7SiQIL14Gho/IE0821rC472H1/7CxGPv34vQf2AX/1gTI57i4cFCprd0fMoBXga9alnUied/fAeuAj4GAZVnVpmkWoDpEHD7vzoQAfDt3AODfvJHETXP5eO0Rdh4s56GbhtLn8a+xa+UJQAWf3ll+gH756bz8ye5UQAHgh49OIS0kXVK7k2apx7EYvh3b8UIhFVSwbfybNqj1xceP4Wk69tRpV2lgHsZuC7dXL+zxE7FHj8W3YxuBjz6AUJODOttu1tZOCNGJhELw7LPEyuo6R/bT5UpmKBiHDgCgnz4FqIKBifET8a9djV56Gr30NImp03H6FVH/7F+ecyLaEKT1f74SEgmM3RaOOQKtopzg+++iVVdjDzPxCgvpCtyBA2H9WvTKCrTKilTnkKZ827eSmHxtqiPP2R1FLrQU5KLfv28/ol9+9OIb+nxEnvgzCPhJt+twV65TnzXWrsZ6GseOqrHOvonEtOtITJ2Of9ln+D9fiW/bFrysbLysrObLBTwP/4pl+FcuByA2706c0WPQqirxbdyAPX4CGAb66dNokXq1xMPz0A8eUJ2XsnPQqirxwmkQCKh91tfj37IJra4Wp28RzqjR+DasR4vFSEyb1HJRTE3DKZG6CEJ0V209A3sGGAL8i2maADFgLyp7KRP4k2maCcAAnrEsK9YOYxXdmBaLAuAFgry1dB/vrzwEgK5rPHX3GPYeszB0jamjerNy20l+9F9rUs+9ZcoAxpXkkRH2t7hv0U0EgxCPY5w4TvCdN0mMm5BaqwkQ+GwRhEMXbuPVTowd2wHQ6uvVyYjfj5usSu/bsB5n2HC0igoS02e0en2zEKID+HzndIPo6uK3zMPpW4R/43q8zEzsseNUVf26Ony7dzW2f7zA607Mmo1b2Jvge2/j5uSiVVWqugJJXamgoNO3CHQdZ+gwPN1IdWdIzJiJf+liCIXRzpSi19XgnF1j4SpLBdILiojn9lWtJxd9CqDanMbjuP2KGp+gadgTJuIFgrj9ijB2W/jfViuS3T59id0+H622pjGg0KTLhG/HdvxrPm9s0Q0kpk6H2lpC772NfvRIs7FFnvom+oH9BN99q9n9WkklzoiROEOKscvLVKFtIUSP09buD/8A/MMFNpnStuGInkirrcE4dBB0nU033cv77+5OPVZeE+OTdUc4fqaOKSMKWXD9EFZua7zKsGDmEO6aMaQDRi06QmLmDQTfeRNjt4XXUCzr/i/gZucS+t2Lqpf7yNHN+15fjOsS+OCPOMUlOCNHXXx7wDih+p/bExoPntx+RXiZWWg11dijxqj2bkII0QGcsePO6UARv/Mu4t78VmdlOCNGEunTBy89A9+ObY33lwztWoGYtDTVsQEgI4Pow4+glZc368aj1dbgpaV34CDPwzCIfOUxjAP7VVvtFpY3eFnZ2NOmqwKUny1O3a+fPEFg4ccqyyIQIDFxUrPuQ/bwEfg2b4R4AvDQolFVeDgj45zWul44Da2qqlkgPz7nZrRIBMPaCbaNV1hIfN4d7f8zEEJ0CZIrLjqcF07DCwRJzL6J/dVOs8cOnazh0Em1fuvBm4bSKyvEzZMH8Mm6IwwtyubO6YM7YMSiozjDTZwhxRgH9qd6fDv9+kMoRHzOzeg11eA4lxRUMHZsT7WsrL9QUKG2lsDKZcRnzlZtzQYNVld1GgQCqnWYEEJ0Vpe4zMPLUcUh7bHj0SIRtNOnSMzseoVn3f6Nxf7cov5Q1L/Z415GJy4+l5HRuhaluk7snvtVJoHrquUejkNs3h0tnux7eXlEnny68Y5YTC1b8Dxid9+jfiaOg1ZWhpeRAWlpxO69HwwDLxROfc4mrp91zr6FED2PBBVEx4lE0E+ewB1STOy+ByhPy+H1n6n2WH/7+BT+9oW1zTbPyVQR+ofmDOWhOUPRusMaWHHJYvPuJO1X/64KIwYCqZZbzugxOK6LsX2buhrTUiuueBzf9q3YI0al1nw2S+ONxVq8EqSfOK4KnxUUoiXiqo7C+ItU2hZCiO5C1696MVzRBsEgsYasDMe5eBCpacZJQx0ETWsMshhGs9oZDUEmIYQ4WxfKXxPdRrLwUPg/f6mKD8XjuL378OJHjcse+ualcdvUganbX5o7DD354ahpmgQUerKMDOr/4rt4OTl4weaBA//nKwl+8D6BJYtafGro1ZcJfPIRvs2b1PYrl+NftQK3UK2jTfu3fyH47lsYycKhAESjhF76DVp1NW6vvM59RUsIIYQA1Wa0Ky1TEUJ0afJuI646/4plBN99Cy1Sj8/aCYbBh6sPs2nvGQAemzcCv89gyggVHe+VFWTG2L4dOWTRGcXieA2VqEGtJ12+FABj395zt3ddtPIy9fgxVYBKP3wIY89uEtNn4Aw3id86D8PahbF/n3pOXR1pP/1JaheJG+fIQZoQQgghhBBNyPIHcVVpZ87gX7UidTu64D48Xee1xY0ngbPG9wNgSN8sfvjoZApzw4SDMlVFc25REV7T2gm6jj1yFL6dO9Dq66C2VgUAkgUd0XWiX/wK4d/8J8a+vaT90/8CwEvPwDFHqMKKrot/1Qp8O7ZhHNiPm5+Pl5GJVluDPUGWOwghhBBCCHE2OVMTV0ckgnHsqKoQHAyqllfFJRAIsHF3aWqzW68d0OxpQ/pmXe2Rii4iNn+BSu9sIj5/AVo0inHoIMFPPlQFp+59AADD2oUWjZyzn2bBAl0nPucWgu+9jVZfh3G4jsjjX8fYt1faZAkhhBBCCNECCSqIK891Cb3xKvqJ4ySmTifyzWfV3ZrO7z/ZzafrjwLwgy9PorhIggiilc7T4SExdTpeRia+rZvxgkFwXXDdVG/tyGNfU0/fuB63Xz/sMc2rajvDhhP52p8RWLyQxKQpeAUF2AUFV/a1CCGEEEII0UVJUEFccb6N69FPHAfAOHKYRPLq8qbdpamAQnG/LIr7ZaWKMQrRVu7AQcQHDgJNw7dlE/7Vq3Azk8Eqnw+voAA0jfit8867Dy87h9iC+67SiIUQQgghhOi6JKggrqy6OgILPwEg+uCXcPv2w3FdNu4+w8/f2QbAs/ePY/zQ/AvtRYhL5gwYqIIKyz5L3RdbcO8l92kXQgghhBBCnJ8EFcQVpddUA+AMGow7aDAny+v52xdWEk+4qW3GFPfqqOGJbswdNOic+5z+A1vYUgghhBBCCNFWElQQV5Tbpy+JWbOxR48BYMXWE6mAggb841PTMaRFn7gCvIxMIk99EzSN4Gu/JzF1OjRtQSmEEEIIIYS4bBJUEO3H8/AvXYJv0wa8/AJit9+Jl9uLqgnX8vtFe1i+ZR0AQb/BPz99HaGAgc+QgIK4crysbACiTzzZwSMRQgghhBCie5IzOtEutJpqQr97Ef/qVWixGPqxowTfeh2AP646yPItJ1Lb3j+7hIywXwIKQgghhBBCCNHFSaZCd+Z5GNYutPo63Jxc3OKSy9tfIoGxf5/6d/ggWlUVaBr2uAkkpk4Dz8MLhdCiUbz0DGJ330dZVZQPVh9O7SIzzc+cSf0v84UJIYQQQgghhOgMJKjQBekHD2CcPIFbWIhxYD/xWTeC39+4gW2rE/5gAP/qVeinTgKQmDGTxORrIRhs9ffSSkvRqypxhg7Dv3wp/rWrm2/gebiFhXg5uUS//GjySRqJhMMHqw/zzvItAMwa348pIwrpm5d2Wa9dCCGEEEIIIUTnIUGFLkarrSH02isAeMCRU7VU1vkYluHBlCn4V63A2LmDQ32G8vtYIWM+2kK/NI1++en0WbEMz/BhT5t+3v37Nm/E/9kStGgkdZ+XlUWkZCiJ2TfhFhTi5eXhFvZGq6hAc2zc3n2Sg2ts1ffCh7v4fPspggGDkQNzuWvGYHplha7Iz0QIIYQQQgghRMeQoEIXEj1ZSunug9TvLiUjLcCOg+Ucyh9E9isf4O8FI9etxnU99p2o5uW9QXYUZbJp3F0UVJ9m3OGtFB84yr5etWTW7OCB6G6c0WPAcdGPH8PtlYczdhxaTU2zgAKGgT3hGvW1puGMGZt6yMvPx2syvtU7TvHL97anbvfODfPDR6eQFpJpJoQQQgghhBDdkZztdRH6saPs+/FP+W3OBMqG3MaAsiMEB8fZ1dckt66C7K2fUFOfYGs8zMLRc3F1A4AZY/uwYissHDOHhQBnoPe+zUyo3kCfNRvxAM/zKL9uNtVZFbhFo9HG+6nNyGFwSW+CGem4HrjVMVzPU/9cD9eDcMBg24Fyjp+pY9GGo9iO12zMcycPkICCEEIIIYQQQnRjcsbXyWnVVfjWraF++eccO1GFk2dgG34OFBZTmBvm+Ucn863/s4zfT38Qn5PA0Q1GDcnjxmv6M35oHoauM3tiEXuOVHG8rI6+eWm8vhh+FxnGlM1rAYgEwqxOHOfElqbfOQLLTrQ4pvMp6ZfF7IlFbNhdymSzkOlj+rTfD0IIIYQQQgghRKcjQYXOxvNA0zD27yXw6cccto6w52gVZxwfuwaNZ9CkkfzTveM4dqaOtKCP9JCf//30dXy89ghHS2uZf91gzIG5zXZZ0i+bkn7Zyd17GLpOefUAojUT8AydRFYukzUNTYPK2jj7jleRGfaTHvajaxq6rqFroGsamq6haxqxhMOJsjoOn6rlmuEFXD+uL+NL8tA0jRlj+3bET04IIYQQQgghxFUmQYXOIhol8Nli9FMnOXP/w+yuDZK3+QC7j1Syvf9o/DfNpn92GvNnDAagKD899dReWSEemjOsVd9G0zRumTLgCrwAIYQQQgghhBA9jQQVrhTPQz90EP30aby0NIwjh9EqK0DTiD30MAD6ieMYO7fjHjqMc+QYO49Xsa/a5Q/784gEwoQLZhLrG+Sm6cWtDhoIIYQQQgghhBBXiwQVLofjoNVUA2Ds3cOhpes5HdfYP/1mqkorGbn0fTJrKjAMjeq6ODV1cTILcym8YT4HT1ST8bvfkDhyjLqoDcDmgePYN2EU5pB8CnLCpId8DOufw8hBuRcYhBBCCCGEEEII0TEkqNBGp9dt4+TPfk2sNgJ4lNfEKKuKciq7N4s4BMD6/MnMLl1CVTib4/36UZbRi4Adp+y/14HnMb4+nfJB06jOKSC3qICpo3rzzfH9CAfl1yKEEEIIIYQQovOTs9c2+u26UvTjDjF/JhmxOmpChVTcOp0pM0byg/wMzlRFiMYdaueOZmBOmEeG5eMBq7adZMPuUgpywgy+fSRTR/Um4Dc6+uUIIYQQQgghhBCXTIIKbfToF6exauQAPDxy0oMU5ITJyw6lHh/aP7vF582eWMTsiUVXa5hCCCGEEEIIIcQVI0GFNsrLDjN1VO+OHoYQQgghhBBCCNFh9I4egBBCCCGEEEIIIbomCSoIIYQQQgghhBCiTSSoIIQQQgghhBBCiDaRoIIQQgghhBBCCCHaRIIKQgghhBBCCCGEaBMJKgghhBBCCCGEEKJNJKgghBBCCCGEEEKINpGgghBCCCGEEEIIIdpEggpCCCGEEEIIIYRoEwkqCCGEEEIIIYQQok0kqCCEEEIIIYQQQog2kaCCEEIIIYQQQggh2kSCCkIIIYQQQgghhGgTCSoIIYQQQgghhBCiTSSoIIQQQgghhBBCiDbRPM/r6DEIIYQQQgghhBCiC5JMBSGEEEIIIYQQQrSJBBWEEEIIIYQQQgjRJhJUEEIIIYQQQgghRJtIUEEIIYQQQgghhBBtIkEFIYQQQgghhBBCtIkEFYQQQgghhBBCCNEmElQQQgghhBBCCCFEm0hQ4SJM05Sfkeh0TNPUOnoMQrRE5qYQQrSOHGOKzkjmpWgLX0cPoDMyTTMP+DbwPy3Linf0eIQAME0zG5gOLLYsK9bR4xGiQXJujgHWWJaV6OjxCAGpeTkM2GRZlt3R4xECwDTNEPAU8O+WZcVM09Qsy/I6elyiZ5NzH3G5JBJ1FtM0RwFvAWHAM03T6OAhCYFpml8GPgMeAf7RNM1wBw9JCABM07wHWA58C/ipaZojOnhIQmCa5teBz4EfAb/o4OEI0dQc4HvAE8nbkt0lOpSc+4j2IEGFcw0G9lmW9W3LshKWZTkdPSDRs5mm6QPGAl+zLOtLwExgePIx+RsWHa0I+KFlWQ8BJ4Evm6bZMD/lYFlcdaZpFqM+y2+yLGs+MN40zVnJx2ROig7R5ETtCPAH4H7TNIdZluUmP+eF6CgDkXMfcZl6/JtYMjp3J/AHy7J2An2A7aZp9gH+DrCAdyzL2teBwxQ9THJezgfetSxrl2maY4CTpmlGgdVAbwDLstwOHKbogUzTHAwMtixrSfKuKcCp5NdvAPcD9wD/KCm94mppOi8ty9pvmuYblmWdSD78BnAvsFTmpLiazpqXDSdqNwArgE3Ac8A3ZXmOuJpa+BwvBrbKuY+4HD3yKmfDlQrTNK8Ffg5kAT8wTfPbwDrUWrdHgKVAL+BrpmlO6qDhih6ihXmZCfzQNM1ngD8DbOAjYBDwXdM0v2Wa5tiOGq/osX6Bek+ckLz9IfA3AJZlbUcdKBfK3BRXWcO8HAdgWdbGJo8FUMFYIa62hnk5psl9BwHXsqx/B0zTNN8yTfPODhmd6Kka5uX45O2jwJPIuY+4DD0yqEDj+rWRwHbLsv4G+AHwHeAYsA+4zrKs36L+8CKoFF8hrqSW5uVfoeZmmmVZzwPLgL8F/hzIBya0sB8h2lWTgNd4IAfYAdycLDD2ClBnmub3k5tvQ2XS9PhMOHFlnWde3tLk8UDyyxzUWuFmzxPiSjjPvLytySZDgGiyVtIk1Of4R02fK0R7O9/7ZfJz/D2gApgm5z6irXpUUME0zbmmaf4H8H3TNIPAZsAwTXOIZVlHgP8G/jfwNGoNZkby/l5AsMMGLrq1VszLX6OKM6YDEy3LWptcqhMEpNK+uGKazM2/Sp6gbQe+AawE8mg8gXsOeMY0zQHJdEkNFfQSot1dZF7mm6Y5B6BJBfMc4BPTNCebpvn3QElHjFt0b62YlzcnNy0FXkNlIN6OKij6GIAszxHt7RI+x59Fnfuky7mPaIseE1QwTbMv6grvO6gid99FrQU+iGrTh2VZfw3cCKShggv/n2mabyS333XVBy26vVbOyx8CE4EBwBLTNF8xTfMlVPFG6+qPWvQELczNHwLXJNPKt6GKjU03TbOXZVlrgBdRy8j+iFpStrtDBi66tVbOy5mmaWYlt09H1Up6AfgnVF2FvR0wdNGNtXJezkjOx43AbMuyZlqWtQr4/1FXjYVoV5f4Ob4WeBn4Ozn3EW2heV73DYomK+0+i4oC56Ku8v6/pmkOQRVn7A3UAwbwR8uyNpim+SwwxLKs50zTzAFmJdOChGgXlzEvBwLfRxV5GmhZ1gsd8gJEt3WBuTkYVXyxF6oAY61pmlNRxUS3WZb1++Rzs1Dvme92zCsQ3VEb5+Vmy7JeT57EHQL+H8uyft4xr0B0R22Yl3cB6y3LeqvpPqTSvmhPl/k57gMykHMf0QbdNlPBNM3pwCeoq77zgGeAB03TzLQs6wCwFXABP1CLWvIA6g9wNYBlWZXyRyXa02XOy/WWZdmWZS2UgIJobxeZmwdRRWzTgTuST9mEuopxnWmaxZZlOZZlVUhAQbSny5iXM03TNC3LqgMGSEBBtKc2zsudwGxTtTwFQAIKoj21w+e4Lec+oq26bVAB8ID/sizri8CbqPY9lag0M1DpZ6eBclS7qVgy3WcWsPbqD1f0EJczL9dc/eGKHuRic3MzsB/oZ5pm0LKsGGq+bgBqOmC8ome4nHlZDmBZVuSqj1p0d/J+KTojmZeiw3Tn6tzrgS3Jr2uBYcBDwFrTNKdYlrXWNM2TwF2WZT1vmuZzQF/Lsg530HhFzyDzUnRWrZmbx4EFyQORhhaS2ztktKKnkHkpOiOZl6IzknkpOky3rqnQlGmaHwD3AV8D7gb+GpiNWr/+V5ZlSRV9cdXJvBSd1UXm5vcty7I7bnSip5J5KTojmZeiM5J5Ka6m7pypkGKa5jCg0LKseuCnpmnGUX9cxcCzcuImOoLMS9FZtWJuyoGIuOpkXorOSOal6IxkXoqrrUcEFVCv823TNEcC/wCstCzrf3TwmISQeSk6K5mbojOSeSk6I5mXojOSeSmuqp4SVJgI/B0q5ec3lmX9tmOHIwQg81J0XjI3RWck81J0RjIvRWck81JcVT0lqFAD/AD4iWVZ8Y4ejBBJMi9FZyVzU3RGMi9FZyTzUnRGMi/FVdUjCjWapqlZltX9X6joUmReis5K5qbojGReis5I5qXojGReiqutRwQVhBBCCCGEEEII0f70jh6AEEIIIYQQQgghuiYJKgghOABfTwAAAFFJREFUhBBCCCGEEKJNJKgghBBCCCGEEEKINpGgghBCCCGEEEIIIdpEggpCCCGEEEIIIYRoEwkqCCGEEEIIIYQQok0kqCCEEEIIIYQQQog2+b9K4Eex4yfJ6gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "'''\n",
    "strategy 1:\n",
    "单向波动差移动平均为正：买入\n",
    "单向波动差移动平均为负：卖出\n",
    "'''\n",
    "\n",
    "flag = np.where(diff_ma.loc[begin_date:watch_date] > 0, 1, 0)\n",
    "slice_ser = ret.shift(-1).loc[begin_date:watch_date]\n",
    "slice_benchmark = HS300.loc[begin_date:watch_date, 'close']\n",
    "\n",
    "strategy_ret = flag * slice_ser\n",
    "strategy_cum = (1 + strategy_ret).cumprod()\n",
    "benchmark = slice_benchmark / slice_benchmark[0]\n",
    "\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "plt.figure(figsize=(18, 8))\n",
    "plt.title('波动剪刀差策略与沪深 300净值')\n",
    "strategy_cum.plot()\n",
    "benchmark.plot(color='r', ls='--', alpha=0.5)\n",
    "legend(['strategy1', 'HS300'])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "excess_ret = strategy_ret - ret.loc[begin_date:watch_date]\n",
    "excess_cum = (1 + excess_ret).cumprod()\n",
    "\n",
    "show_excess = excess_cum.groupby(\n",
    "    pd.Grouper(freq='Y')).apply(lambda x: pow(x[-1] / x[0], 244 / len(x)) - 1)\n",
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.title('相对强弱RPS值与指数历史趋势')\n",
    "\n",
    "plt.bar(range(len(show_excess)),show_excess.values)\n",
    "plt.xticks(range(len(show_excess)),['%s年'%x.strftime('%Y') for x in show_excess.index])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "研报认为\n",
    ">预测值在强势市场中对当天波动率不是很敏感，在市场调整、震荡区间 中对波动率要相对敏感一些。因此，单向波动差值策略还需要接合市场特征指标加以完善。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f0b35de8748>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "'''\n",
    "strategy 1:\n",
    "单向波动差移动平均为正：买入\n",
    "单向波动差移动平均为负：卖出\n",
    "'''\n",
    "\n",
    "diff_ma10 = diff_vol.rolling(10).mean()\n",
    "\n",
    "flag_1 = np.where(diff_ma10.loc[begin_date:watch_date] > 0, 1, 0)\n",
    "slice_ser = ret.shift(-1).loc[begin_date:watch_date]\n",
    "\n",
    "strategy_ret1 = flag_1 * slice_ser\n",
    "strategy_cum1 = (1 + strategy_ret1).cumprod()\n",
    "\n",
    "plt.figure(figsize=(18, 8))\n",
    "plt.title('10天与60天移动平均波动差值策略净值对比')\n",
    "strategy_cum.plot()\n",
    "strategy_cum1.plot()\n",
    "benchmark.plot(color='r', ls='--', alpha=0.5)\n",
    "legend(['strategy_ma60','strategy_ma10', 'HS300'])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 相对强弱 RPS指标"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\"强者恒强、弱者恒弱\"常为市场所证实。个股或市场的强弱表现其本身就 是基本面、资金面、投资者情绪等多种因素的综合作用下的体现。通常市场 强势与否，可以用市场相对强弱 RPS 指标来表示。 \n",
    "\n",
    "1. 计算 RPS 值 RPS_1=(当前涨跌幅-MIN(250 交易日涨幅))/(MAX(250 交易日涨幅)-MIN(250 交易日涨幅)) （注：其值在 0%到 100%区间内）\n",
    "2. 然后取 10 个交易日移动平均值：RPS=MA(RPS_1)\n",
    "\n",
    "<font color=DarkRed>**根据尝试发现RPS的定义应该是**:</font>\n",
    "\n",
    "RPS_1 = (当前收盘价 - min(过去250日收盘价))/(max(过去250日收盘价）-min(过去250日收盘价))\n",
    "\n",
    "RPS = RPS_1的10日移动平均值\n",
    "\n",
    "不是用涨跌幅....坑爹啊！"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算RPS\n",
    "def GetRPS(df: pd.DataFrame,period:int)->pd.Series:\n",
    "\n",
    "    rps = (df['close'] - df['close'].rolling(250,min_periods=0).min()) / (\n",
    "        df['close'].rolling(250,min_periods=0).max() - df['close'].rolling(250,min_periods=0).min())\n",
    "\n",
    "    return rps.rolling(period,min_periods = 0).mean().loc[begin_date:watch_date]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "跟报告对比貌似就是用收盘价"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f0b31f0e550>"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 计算rps\n",
    "rps = GetRPS(HS300,10).dropna()\n",
    "\n",
    "plt.figure(figsize=(18,8))\n",
    "plt.title('相对强弱RPS值与指数历史趋势')\n",
    "slice_benchmark.plot(color='black',alpha=0.8)\n",
    "plt.ylabel('HS300收盘价')\n",
    "plt.legend(['HS300'],loc=2)\n",
    "\n",
    "plt.twinx()\n",
    "rps.plot(color='r',alpha=0.6)\n",
    "plt.ylabel('RPS')\n",
    "plt.legend(['RPS'],loc=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从图也能看出，RPS能很好的刻画出市场的状态，市场强势时，RPS高位，市场震荡时，RPS低位。因此可以用RPS来指导单向波动差的窗宽，RPS高位时，窗宽较大，RPS低位时，窗宽较小。\n",
    "\n",
    "择时策略2\n",
    "\n",
    "在使用RPS指导单向波动差的窗宽设定之前，报告用RPS做了一个简单回测确保这个逻辑时合理的，如下标记部分。\n",
    "\n",
    ">可以看出RPS值能较好的表达市场是否处于强势。基于这个思想，可以在RPS值在高位时计算当天的移动波动率差值就用较长天数的，当 RPS 值在低位时就用相对较短天数的波动率差移动均值。 市场相对强弱 RPS 值较高时保持高仓位才是最好的选择。我们来测试一 下基于这个逻辑的策略是否符合以上所说。 测试方法说明：当 RPS 值在 80%以上时，说明其趋势保持相当好，这方面研究结论很多，例如欧奈尔的CNASLIM策略只选 RPS 值在 80%的上个股。故在 这个区域是相对较为安全的区间。在这区间内持有是最佳选择。（<u>***当前一个交易日 RPS 值上穿 80%安全边界线时买入，下穿 80%安全边界线卖出***</u>）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结果基本一致..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f0b31e8c5f8>"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "strategy 2\n",
    "RPS上穿80%，买入\n",
    "RPS下穿80%，卖出\n",
    "\"\"\"\n",
    "\n",
    "pre_rps = rps.shift(1)\n",
    "\n",
    "flag = []\n",
    "for trade_date,rps_values in rps.items():\n",
    "    \n",
    "    last = rps_values\n",
    "    per = pre_rps.loc[trade_date]\n",
    "    \n",
    "    if (last > 0.8) and (per < 0.8):\n",
    "        \n",
    "        flag.append(1)\n",
    "    \n",
    "    elif (last < 0.8) and (per >0.8):\n",
    "        \n",
    "        flag.append(0)\n",
    "        \n",
    "    else:\n",
    "        try:\n",
    "            last_flag = flag[-1]\n",
    "        except IndexError:\n",
    "            last_flag = 0\n",
    "            \n",
    "        flag.append(last_flag)\n",
    "        \n",
    "strategy2_ret = flag * slice_ser.shift(-1).loc[rps.index]\n",
    "strategy2_cum = (1 + strategy2_ret).cumprod()\n",
    "\n",
    "plt.figure(figsize=(18, 8))\n",
    "plt.title('相对强弱RPS值择时策略效果')\n",
    "strategy2_cum.plot()\n",
    "benchmark.loc[strategy2_cum.index].plot(color='r', ls='--', alpha=0.5)\n",
    "legend(['RPS', 'HS300'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 相对强弱 RPS下波动率差值策略"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">策略步骤简介: \n",
    "1. 计算相应指数相对强弱RPS \n",
    "2. 计算相应指数上行波动率、下行波动率，并计算二者差值 \n",
    "3. 计算当天波动率差值的移动均值天数由 RPS 值确定、RPS 值越大相就取的天数越多\n",
    "4. 观察前一天的(波动率差值的移动均值)，如为正就保持持有（或卖入）、否则就保持空仓（或卖出）。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "报告中并没有给出具体的RPS值跟移动平均窗宽之间的关系，所以就只能自己尝试了，这里我尝试了一个很简单的逻辑：RPS的值都在0-1之间，设定最大窗宽为60，最小为1，根据RPS对窗宽做一个线性的插值，再取整。最终回测结果如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Sensitivity_analysis(close_df: pd.DataFrame, period: int):\n",
    "\n",
    "    rps = GetRPS(close_df, period).dropna()\n",
    "    ret = close_df['close'] / close_df['pre_close'] - 1\n",
    "    \n",
    "    up = np.where(ret.loc[rps.index] > 0,rps,0)\n",
    "    down = np.where(ret.loc[rps.index] <= 0,rps,0)\n",
    "    \n",
    "    diff_ = pd.Series(up - down,rps.index)\n",
    "    diff_ = diff_.rolling(period,min_periods=0).mean()\n",
    "    \n",
    "    flag = np.where(diff_ > 0, 1, 0)\n",
    "\n",
    "    strategy_ret = flag * ret.shift(-1).loc[rps.index]\n",
    "    strategy_cum = (1 + strategy_ret).cumprod()\n",
    "\n",
    "    Total_Annualized_Returns = pow(strategy_cum[-2] / strategy_cum[0],\n",
    "                                   250 / len(strategy_cum)) - 1\n",
    "                                   \n",
    "    return strategy_cum,Total_Annualized_Returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "寻找参数: 100%|██████████| 60/60 [00:00<00:00, 87.30it/s]\n"
     ]
    }
   ],
   "source": [
    "period = np.arange(1,61,1)\n",
    "temp = {}\n",
    "for i in tqdm(period,desc='寻找参数'):\n",
    "    _,Total_Annualized_Returns = Sensitivity_analysis(HS300,i)\n",
    "    temp[i] = Total_Annualized_Returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "收益最优的移动平均参数为:13\n"
     ]
    }
   ],
   "source": [
    "print('收益最优的移动平均参数为:%s'%max(temp,key=temp.get))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结果相比于之前回撤降低了很多，但远远达不到报告中的逆天效果，而且我这里还是没有考虑交易成本的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f0b31262160>"
      ]
     },
     "execution_count": 119,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "strategy_cum,Total_Annualized_Returns = Sensitivity_analysis(HS300,13)\n",
    "\n",
    "plt.figure(figsize=(18, 8))\n",
    "plt.title('相对强弱 RPS下波动率差值策略与HS300净值')\n",
    "strategy_cum.plot()\n",
    "benchmark.loc[strategy_cum.index].plot(color='r', ls='--', alpha=0.5)\n",
    "legend(['RPS', 'HS300'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**RPS分级靠档**\n",
    "\n",
    "报告后续测试指出，前文给出的通过RPS确定窗宽的方法太灵敏，RPS的微小变动会引起窗宽的迅速调整，因此可以对RPS的值进行分级靠档，以降低交易频率，具体来说:\n",
    "\n",
    "|RPS|移动天数|\n",
    "|--|--|\n",
    "|0%到20%|20|\n",
    "|20%到40%|40|\n",
    "|40%到60%|60|\n",
    "|60%到80%|80|\n",
    "|80%到100%|100|\n",
    "\n",
    "可能由于前序没能完美复现 所以后面的效果不太好...."
   ]
  }
 ],
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